{"id":34,"date":"2013-05-26T12:56:37","date_gmt":"2013-05-26T12:56:37","guid":{"rendered":"http:\/\/phsites.technion.ac.il\/avron\/?page_id=34"},"modified":"2026-01-28T10:30:03","modified_gmt":"2026-01-28T08:30:03","slug":"publications","status":"publish","type":"page","link":"https:\/\/phsites.technion.ac.il\/avron\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<p>Selected publications in PDF (1977-2019).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Homotopy of periodic 2 \u00d7 2 matrices.&nbsp;<a href=\"https:\/\/doi.org\/10.1063\/5.0138809\">J. Math. Phys. 2024; 65, 051902 (2024)<\/a>.&nbsp;with Ari M. Turner.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/pdf\/1901.06688.pdf\">An elementary introduction to the geometry of quantum states with a picture book<\/a>, Reviews in Mathematical physics 32, 2030001 (2020), with O. Kenneth.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/pdf\/1711.10417.pdf\">Anomalous decay and decoherence in atomic gases<\/a>, Open systems and information dynamics 26, 1950008 (2019),&nbsp; with A. Tsabary and O. Kenneth.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/s\/glb69741o1vw8ly\/septuagenerain.pdf?dl=0\">Teleportation for Septuagenerians,<\/a> <a href=\"https:\/\/doi.org\/10.1007\/s10955-017-1891-y\">J. Stat. Phys. 172, 555-561 (2018)<\/a>. with O. Kenneth.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/s\/wa0xursjm13x5wh\/OriPhysRevA.94.063837.pdf?dl=0\">Generalized Sagnac-Wang-Fizeau formula<\/a>, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevA.94.063837\">Phys. Rev. A. 94, 063837 (2016)<\/a>. with A. Ori.<\/li>\n\n\n\n<li>Relativistically exact eikonal equation for optical fibers with application&nbsp;to adiabatically deforming ring interferometers , <a href=\"https:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2017\/08\/EikonalPhysRevA.94.063838.pdf\">Phys. Rev. A 94, 063838 (2016)&nbsp;<\/a>&nbsp;with Oded Kenneth.<\/li>\n\n\n\n<li>Lindbladians for controlled stochastic Hamiltonians, <a href=\"http:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/17\/4\/043009\/meta\">New J. Phys. 17 (2015)<\/a>. with&nbsp;<span class=\"nowrap\">O Kenneth<\/span>,&nbsp;<span class=\"nowrap\">A Retzker<\/span>&nbsp;and&nbsp;<span class=\"nowrap\">M Shalyt<\/span>.<\/li>\n\n\n\n<li>Braiding fluxes in Pauli Hamiltonian,&nbsp;<a href=\"https:\/\/doi.org\/10.1016\/j.aop.2014.06.025\" target=\"_blank\" rel=\"noreferrer noopener\">Ann. Phys. 349, 325-349 (2014)<\/a>, <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1403.2216\">arXiv:1403:2216<\/a> with O. Kenneth.<\/li>\n\n\n\n<li><a href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2018\/03\/Avron_2014_J._Phys._A3A_Math._Theor._47_185202.pdf\">A study of&nbsp; the ambiguity in the solutions of the Diophantine equation for Chern Numbers,&nbsp;<\/a> J. Phys. A Math. Theor. 47 185202 (2014) with O. Kenneth and G. Yehoshua.<\/li>\n\n\n\n<li>Adiabatic Response for Lindblad Dynamics,<a href=\"https:\/\/www.dropbox.com\/s\/c526j9loamx804j\/avronfraasgrafJSP.pdf?dl=0\"> J. Stat. Phys. 148, 800\u2013823, (2012),<\/a> with M. Fraas and G. M. Graf.<\/li>\n\n\n\n<li>Adiabatic theorems for generators of contracting evolutions, <a href=\"https:\/\/www.dropbox.com\/s\/gssfbws8ym3555s\/cmp_contracting_evolutions.pdf?dl=0\">Comm. Math. Phys., (2012)<\/a>, <a title=\"arXiv:1106.4661\" href=\"http:\/\/arxiv.org\/abs\/1106.4661\">arXiv:1106.4661<\/a>, with M. Fraas, G. M. Graf and P. Grech.<\/li>\n\n\n\n<li>Quantum response of dephasing open systems, <a title=\"Quantum response of dephasing open systems, New J. Phys. 13, 053042 (2011), with M. Fraas, G.M. Graf and O. Kenneth (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/New_J_Phys_13_053042_2011.pdf\">New J. Phys. 13, 053042 (2011)<\/a>, <a title=\"arXiv:1008.4079\" href=\"http:\/\/arxiv.org\/abs\/1008.4079\">arXiv:1008.4079<\/a>, with M. Fraas, G.M. Graf and O. Kenneth.<\/li>\n\n\n\n<li>Radiative cascade from quantum dot metastable spin-blockaded biexciton, <a title=\"Radiative cascade from quantum dot metastable spin-blockaded biexciton, Phys. Rev. B 82, 155329 (2010), (DOI: 10.1103\/PhysRevB.82.155329), with Y. Kodriano, E. Poem, N.H. Lindner, C. Tradonsky, P.M. Petroff and D. Gershoni (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_B_82_155329_20101.pdf\">Phys. Rev. B 82, 155329 (2010)<\/a>, (DOI: 10.1103\/PhysRevB.82.155329), <a title=\"arXiv:1007.0124\" href=\"http:\/\/arxiv.org\/abs\/1007.0124\">arXiv:1007.0124<\/a>, with Y. Kodriano, E. Poem, N.H. Lindner, C. Tradonsky, P.M. Petroff and D. Gershoni.<\/li>\n\n\n\n<li>Optimal parametrization of adiadabtic paths, <a title=\"Optimal time schedule for adiabatic evolution, Phys. Rev. A. 82, 040304R, (2010) (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_A_82_040304R_2012.pdf\">Phys. Rev. A. 82, 040304R, (2010)<\/a>, <a title=\"arXiv: 1003.2172\" href=\"http:\/\/arxiv.org\/abs\/1003.2172\">arXiv:1003.2172<\/a> with M. Fraas, G.M. Garf, P. Grech.<\/li>\n\n\n\n<li>Landau-Zener tunneling for dephasing Lindblad evolutions, <a title=\"Landau-Zener tunneling for dephasing Lindblad evolutions, Commun. Math. Phys. 305, 633-639, (2011), with M. Fraas, G.M. Garf, P. Grech.(pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_Math_Phys_305_633_2011.pdf\">Commun. Math. Phys. 305, 633-639, (2011)<\/a>, <a title=\"arXiv:0912.4640\" href=\"http:\/\/arxiv.org\/abs\/0912.4640\">arXiv:0912.4640<\/a>, with M. Fraas, G.M. Garf, P. Grech.<\/li>\n\n\n\n<li>Avron et. al. reply, <a title=\"Avron et. al. reply, Phys. Rev. Lett. 103, 048902, (2009), with G. Bisker, D. Gershoni, N. H. Lindner, E. A. Meirom, R. J. Warburton (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_103_048902_2009.pdf\">Phys. Rev. Lett. 103, 048902, (2009)<\/a>, with G. Bisker, D. Gershoni, N. H. Lindner, E. A. Meirom, R. J. Warburton.<\/li>\n\n\n\n<li>Entanglement and the geometry of two qubits, <a title=\"Entanglement and the geometry of two qubits, Ann. Phys. 324, 470-496, (2009), with O. Kenneth (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Ann_Phys_324_470_2009.pdf\">Ann. Phys. 324, 470-496, (2009)<\/a>, <a title=\"arXiv:0807.0212\" href=\"http:\/\/arxiv.org\/abs\/0807.0212\">arXiv:0807.0212<\/a>, with O. Kenneth.<\/li>\n\n\n\n<li>A geometric theory of swimming: Purcell&#8217;s swimmer and its symmetrized cousin, <a title=\"A geometric theory of swimming: Purcell's swimmer and its symmetrized cousin, New J. Phys. 10, 063016, (2008), with O. Raz\" href=\"http:\/\/iopscience.iop.org\/1367-2630\/10\/6\/063016\/pdf\/1367-2630_10_6_063016.pdf\">New J. Phys. 10, 063016, (2008)<\/a>, with O. Raz.<\/li>\n\n\n\n<li>Entanglement on demand through time reordering, <a title=\"Entanglement on demand through time reordering, Phys. Rev. Lett. 100, 120501, (2008),  with G. Bisker, D. Gershoni, N. H. Lindner, E. A. Meirom, R. J. Warburton (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_100_120501_2008.pdf\">Phys. Rev. Lett. 100, 120501, (2008)<\/a>, <a title=\"arXiv:0710.2308\" href=\"http:\/\/arxiv.org\/abs\/0710.2308\">arXiv:0710.2308<\/a>, with G. Bisker, D. Gershoni, N. H. Lindner, E. A. Meirom, R. J. Warburton.<\/li>\n\n\n\n<li>Comment on &#8220;Optimal Stroke Patterns for Purcell&#8217;s Three-Link Swimmer&#8221;, <a title=\"Comment on &quot;Optimal Stroke Patterns for Purcell's Three-Link Swimmer&quot;, Phys. Rev. Lett. 100, 029801, (2008), (selected for the January 15, 2008 issue of Virtual Journal of Biological Physics Research.) with O. Raz\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_100_029801_2008_raz-comment.pdf\">Phys. Rev. Lett. 100, 029801, (2008)<\/a>, <a title=\"arXiv:0706.3906\" href=\"http:\/\/arxiv.org\/abs\/0706.3906\">arXiv:0706.3906<\/a>, (selected for the January 15, 2008 issue of Virtual Journal of Biological Physics Research.) with O. Raz.<\/li>\n\n\n\n<li>Distilling entanglement from cascades with partial &#8220;Which Path&#8221; ambiguity, <a title=\"Distilling entanglement from cascades with partial &quot;Which Path&quot; ambiguity, Phys. Rev. A 77, 062310 (2008), with E. A. Meirom, N. H. Lindner, Y. Berlatzky, E. Poem, N. Akopian, D. Gershoni (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_A_77_062310_2008.pdf\">Phys. Rev. A 77, 062310 (2008)<\/a>, <a title=\"arXiv:0707.1511\" href=\"http:\/\/arxiv.org\/abs\/0707.1511v2\">arXiv:0707.1511<\/a>, with E. A. Meirom, N. H. Lindner, Y. Berlatzky, E. Poem, N. Akopian, D. Gershoni.<\/li>\n\n\n\n<li>Visualizing two qubits, J. Math. Phys. 48, 102107, (2007), <a title=\"arXiv:0706.2466\" href=\"http:\/\/arxiv.org\/abs\/0706.2466\">arXiv:0706.2466<\/a>, (selected for the November 2007 issue of Virtual Journal of Quantum Information.), with G. Bisker and O. Kenneth.<\/li>\n\n\n\n<li>Fredholm determinants and the statistics of charge transport, <a title=\"Fredholm determinants and the statistics of charge transport, Commun. Math. Phys., 280, 807-829, (2008),  with S. Bachmann, G.M. Graf and I. Klich (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_Math_Phys_280_807_2008.pdf\">Commun. Math. Phys., 280, 807-829, (2008)<\/a>, 0010-3616 (Print) 1432-0916 (Online), <a title=\"arXiv:0705.0099\" href=\"http:\/\/arxiv.org\/abs\/0705.0099\">arXiv:0705.0099<\/a>, with S. Bachmann, G.M. Graf and I. Klich.<\/li>\n\n\n\n<li>Sailing, Swimming Pumping and Gliding at low Reynolds numbers, <a title=\"Sailing, Swimming Pumping and Gliding at low Reynolds numbers, New J. Phys. 9, 437, (2007),  with O. Raz (pdf file)\" href=\"http:\/\/iopscience.iop.org\/1367-2630\/9\/12\/437\/pdf\/1367-2630_9_12_437.pdf\">New J. Phys. 9, 437, (2007)<\/a>, <a title=\"arXiv:physics\/0703240\" href=\"http:\/\/arxiv.org\/abs\/physics\/0703240\">arXiv:physics\/0703240<\/a>, with O. Raz.<\/li>\n\n\n\n<li>A frictionless microswimmer, <a title=\"A frictionless microswimmer, New J. Phys. 9, 145, (2007), with Alexander M. Leshansky, Oded Kenneth, Omri Gat.(pdf file)\" href=\"http:\/\/iopscience.iop.org\/1367-2630\/9\/5\/145\/pdf\/1367-2630_9_5_145.pdf\">New J. Phys. 9, 145, (2007)<\/a>, <a title=\"arXiv:physics\/0701080\" href=\"http:\/\/arxiv.org\/abs\/physics\/0701080\">arXiv:physics\/0701080<\/a> with Alexander M. Leshansky, Oded Kenneth, Omri Gat.<\/li>\n\n\n\n<li>Swimming in curved space Or The Baron and the Cat, <a href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/New_J_Phys_8_68_2006.pdf\">New J. Phys. 8, 68, (2006)<\/a>, <a title=\"arXiv:math-ph\/0602053\" href=\"http:\/\/arxiv.org\/abs\/math-ph\/0602053\">arXiv:math-ph\/0602053<\/a>, with O. Kenneth.<\/li>\n\n\n\n<li>A comment on &#8220;A semiconductor source of entangled photons&#8221;, <a title=\"arXiv:quant-ph\/0601200\" href=\"http:\/\/arxiv.org\/abs\/quant-ph\/0601200\">arXiv:quant-ph\/0601200<\/a>, with N.H. Lindner, N. Akopian, D. Gershoni,<\/li>\n\n\n\n<li>Entangled photon pairs from a semiconductor quantum dots, <a title=\"Entangled photon pairs from a semiconductor quantum dots, Phys. Rev. Lett., 96, 130501, (2006), with N. Akopian, N.H. Lindner, E. Poem, Y. Berlatzky, D. Gershoni, D.B. Gerardotand, P.M. Petroff (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_96_130501_2006_akopian.pdf\">Phys. Rev. Lett., 96, 130501, (2006)<\/a>, (selected for the April 2006 issue of Virtual Journal of Quantum Information. www.vjquantuminfo.org), with N. Akopian, N.H. Lindner, E. Poem, Y. Berlatzky, D. Gershoni, D.B. Gerardotand, P.M. Petroff.<\/li>\n\n\n\n<li>Adiabatic Swimming in an Ideal Quantum Gas, <a title=\"Adiabatic Swimming in an Ideal Quantum Gas, Phys. Rev. Lett., 96, 130602 (2006), with B. Gutkin and D. Oaknin (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_96_130602_2006_gutkin.pdf\">Phys. Rev. Lett., 96, 130602 (2006)<\/a>, with B. Gutkin and D. Oaknin.<\/li>\n\n\n\n<li>Pushmepullyou: An efficient micro-swimmer, <a title=\"Pushmepullyou: An efficient micro-swimmer, New J. Phys. 7, 234, (2005), with O. Kenneth and D. Oaknin (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/New_J_Phys_7_234_2005.pdf\">New J. Phys. 7, 234, (2005)<\/a>, with O. Kenneth and D. Oaknin.<\/li>\n\n\n\n<li>Optimal swimming at low Reynolds numbers, <a title=\"Optimal swimming at low Reynolds numbers, Phys. Rev. Lett. 93, 186001, (2004), with O. Gat and O. Kenneth (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_93_186001_2004_optimalswimming.pdf\">Phys. Rev. Lett. 93, 186001, (2004)<\/a>, with O. Gat and O. Kenneth.<\/li>\n\n\n\n<li>Optimal rotations of deformable bodies and orbits in magnetic fields, <a title=\"Optimal rotations of deformable bodies and orbits in magnetic fields, Phys. Rev. Lett 92, 040201-1 (2004), with O. Gat O. Kenneth and U. Sivan (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_92_040201_2004_optimal-rotations1.pdf\">Phys. Rev. Lett. 92, 040201-1 (2004)<\/a>, with O. Gat O. Kenneth and U. Sivan.<\/li>\n\n\n\n<li>Semiclassical analysis and the magnetization of the Hofstadter model, <a title=\"Semiclassical analysis and the magnetization of the Hofstadter model, Phys. Rev. Lett. 91, 186801, (2003), with O. Gat (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_91_186801_2003_avron-gat-prl.pdf\">Phys. Rev. Lett. 91, 186801, (2003)<\/a>, with O. Gat.<\/li>\n\n\n\n<li>Transport and Dissipation in Quantum Pumps, <a title=\"Transport and Dissipation in Quantum Pumps, J. Stat. Phys. 116, 425-473, (2004), with A. Elgart, G.M. Graf and L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Stat_Phys_116_425_2004_quantumpumps.pdf\">J. Stat. Phys. 116, 425-473, (2004)<\/a>, with A. Elgart, G.M. Graf and L. Sadun.<\/li>\n\n\n\n<li>Magnetic fingerprints of fractal spectra and the duality of Hofstadter models, <a title=\"Magnetic fingerprints of fractal spectra and the duality of Hofstadter models, New J. Phys. 5, 44.1-44.8 (2003), with O. Gat (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/New_J_Phys_5_44_2003.pdf\">New J. Phys. 5, 44.1-44.8 (2003)<\/a>, with O. Gat.<\/li>\n\n\n\n<li>A topological look at the quantum Hall effect, <a title=\"A topological look at the quantum Hall effect, Physics Today 56, 38-42, (2003), with D. Osadchy and R. Seiler (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/phys_today_56_38_2003.pdf\">Physics Today 56, 38-42, (2003)<\/a>, with D. Osadchy and R. Seiler.<\/li>\n\n\n\n<li>Adiabatic charge pumping in open quantum systems, <a title=\"Adiabatic charge pumping in open quantum systems, Comm. Pure &amp; App. Math. 57, 528-561 (2004), with A. Elgart, G.M. Graf , L. Sadun and K. Schnee (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Comm_Pure_App_Math_57_528_2004.pdf\">Comm. Pure &amp; App. Math. 57, 528-561 (2004)<\/a>, with A. Elgart, G.M. Graf , L. Sadun and K. Schnee.<\/li>\n\n\n\n<li>Time-Energy coherent states and Adiabatic Scattering, <a title=\"Time-Energy coherent states and Adiabatic Scattering, J. Math. Phys. 43, 3415-3424, (2002), with A. Elgart, G.M. Graf and L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/j_math_phys_43_3415_2002.pdf\">J. Math. Phys. 43, 3415-3424, (2002)<\/a>, with A. Elgart, G.M. Graf and L. Sadun.<\/li>\n\n\n\n<li>Optimal Quantum Pumps, <a title=\"Optimal Quantum Pumps, Phys. Rev. Lett. 87, 236601-236605, (2001) with A. Elgart, G.M. Graf and L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_87_236601_2001_oqp.pdf\">Phys. Rev. Lett. 87, 236601-236605, (2001)<\/a>, with A. Elgart, G.M. Graf and L. Sadun.<\/li>\n\n\n\n<li>Hofstadter butterfly as quantum phase diagram, <a title=\"Hofstadter butterfly as quantum phase diagram, J. Math. Phys. 42, 5665-5671, (2001) with D. Osadchy (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Math_Phys_42_5665_2001_butterfly.pdf\">J. Math. Phys. 42, 5665-5671, (2001)<\/a>, with D. Osadchy.<\/li>\n\n\n\n<li>Fredholm Indices and the Phase Diagram of Quantum Hall Systems, <a title=\"Fredholm Indices and the Phase Diagram of Quantum Hall Systems, J. Math. Phys. 42, 1-14, (2001), with L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/j_math_phys_42_1_2001_fredholm.pdf\">J. Math. Phys. 42, 1-14, (2001)<\/a>, with L. Sadun.<\/li>\n\n\n\n<li>The Born Oppenheimer wave function near level crossing, <a title=\"The Born Oppenheimer wave function near level crossing, Phys. Rev. A. 62, 062504-1-062504-9, (2000), with A. Gordon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_A_62_062504_2000_crossing.pdf\">Phys. Rev. A. 62, 062504-1-062504-9, (2000)<\/a>, with A. Gordon.<\/li>\n\n\n\n<li>Geometry, Statistics and Asymptotics of Quantum Pumps, <a title=\"Geometry, Statistics and Asymptotics of Quantum Pumps, Phys. Rev. B 62, 10618, (2000), with A. Elgart, G.M. Graf and L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_B_62_10618_2000_pumps.pdf\">Phys. Rev. B 62, 10618, (2000)<\/a>, with A. Elgart, G.M. Graf and L. Sadun.<\/li>\n\n\n\n<li>Born-Oppenheimer approximation near level crossing, <a title=\"Born-Oppenheimer approximation near level crossing, Phys. Rev. Lett., 85, 34, (2000), with A. Gordon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_85_34_2000_bo-cross.pdf\">Phys. Rev. Lett., 85, 34, (2000)<\/a>, with A. Gordon.<\/li>\n\n\n\n<li>Smooth adiabatic evolutions with leaky power tails, <a title=\"Smooth adiabatic evolutions with leaky power tails, J. Phys. A: Math. Gen. 32, L537-L546, (1999), with A. Elgart (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Phys_A_Math_Gen_32_L537_1999_leaky-tails.pdf\">J. Phys. A: Math. Gen. 32, L537-L546, (1999)<\/a>, with A. Elgart.<\/li>\n\n\n\n<li>Quantum response at \ufb01nite \ufb01elds and breakdown of Chern numbers, <a title=\"Quantum response at \ufb01nite \ufb01elds and breakdown of Chern numbers, J. Phys. A.: Math. Gen. 32, 6097-6113, (1999), with Zvi Kons (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Phys_A_Math_Gen_32_6097_1999_breakdown.pdf\">J. Phys. A.: Math. Gen. 32, 6097-6113, (1999)<\/a>, with Zvi Kons.<\/li>\n\n\n\n<li>Is the number of Photons a Classical Invariant?, <a title=\"Is the number of Photons a Classical Invariant?, Euro. J. Phys 20, 153-159, (1999), with E. Berg, D. Goldsmith and A. Gordon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Eur_J_Phys_20_153_1999_photons.pdf\">Euro. J. Phys 20, 153-159, (1999)<\/a>, with E. Berg, D. Goldsmith and A. Gordon.<\/li>\n\n\n\n<li>Quantum Transport in Molecular Rings and Chains, Proc. Roy. Soc. Lond. A. 455, 2729-2750, (1999), <a title=\"arXiv:math-ph\/9807001\" href=\"http:\/\/xxx.lanl.gov\/abs\/math-ph\/9807001\">arXiv:math-ph\/9807001<\/a>, with J. Berger.<\/li>\n\n\n\n<li>Adiabatic Theorem without a Gap Condition, <a title=\"Adiabatic Theorem without a Gap Condition, Commun. Math. Phys., 203, 445-463, (1999), with A. Elgart (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_Math_Phys_203_445_1999_adiabatic.pdf\">Commun. Math. Phys., 203, 445-463, (1999)<\/a>, with A. Elgart.<\/li>\n\n\n\n<li>An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field, <a title=\"An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field, Phys. Rev. A., 58, 4300-4306, (1998), with A. Elgart (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_A_58_4300_1998_gapless.pdf\">Phys. Rev. A., 58, 4300-4306, (1998)<\/a>, with A. Elgart.<\/li>\n\n\n\n<li>Odd Viscosity, <a title=\"Odd Viscosity, J. Stat. Phys. 92, 543-557, (1998) (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Stat_Phys_92_543_1998_odd_viscosity.pdf\">J. Stat. Phys. 92, 543-557, (1998)<\/a>.<\/li>\n\n\n\n<li>Geometric Forces on Point Fluxes in Quantum Hall Fluids, <a title=\"Geometric Forces on Point Fluxes in Quantum Hall Fluids, J. Stat. Phys. 92, 1193-1201, (1998) with P.G. Zograf (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Stat_Phys_92_1193_1998_geometric_forces_on_point_fluxes.pdf\">J. Stat. Phys. 92, 1193-1201, (1998)<\/a>, with P.G. Zograf.<\/li>\n\n\n\n<li>Boundary Conditions for Bulk and Edge States in Quantum Hall Systems, <a title=\"Boundary Conditions for Bulk and Edge States in Quantum Hall Systems, Euro. Phys. J. B. 1, 117-121 (1998), with E. Akkermans, R. Narevich and R. Seiler (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-admin\/post.php?post=917&amp;action=edit\">Euro. Phys. J. B. 1, 117-121 (1998)<\/a>, with E. Akkermans, R. Narevich and R. Seiler.<\/li>\n\n\n\n<li>The Longuet-Higgins Phase and Charge Transport in Molecular Rings, <a title=\"The Longuet-Higgins Phase and Charge Transport in Molecular Rings, Chem. Phys. Lett., 294, 13, (1998), with J. Berger. (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Chem_Phys_Lett_294_13_1998.pdf\">Chem. Phys. Lett., 294, 13, (1998)<\/a>, <a title=\"arXiv:cond-mat\/9709239\" href=\"http:\/\/arxiv.org\/abs\/cond-mat\/9709239\">arXiv:cond-mat\/9709239<\/a>, with J. Berger.<\/li>\n\n\n\n<li>Piezoelectricity: Quantized Transport Driven by Adiabatic Deformations, <a title=\"Piezoelectricity: Quantized Transport Driven by Adiabatic Deformations, Phys. Rev. Lett. 78, 511-514, (1997), with J. Berger and Y. Last (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_78_511_1997_piezo.pdf\">Phys. Rev. Lett. 78, 511-514, (1997)<\/a>, with J. Berger and Y. Last.<\/li>\n\n\n\n<li>Adiabatic curvature and the S-Matrix, <a title=\"Adiabatic curvature and the S-Matrix, Commun. Math. Phys. 181, 685-7102, (1996), with L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_Math_Phys_181_685_1996_.pdf\">Commun. Math. Phys. 181, 685-7102, (1996)<\/a>, with L. Sadun.<\/li>\n\n\n\n<li>A Classification Scheme for Toroidal Molecules, J. Chem. Soc. Faraday. Trans. 91, No 22, 4037-4045, (1995), <a title=\"arXiv:mtrl-th\/9502001\" href=\"http:\/\/arxiv.org\/abs\/mtrl-th\/9502001\">arXiv:mtrl-th\/9502001<\/a>, with J. Berger.<\/li>\n\n\n\n<li>Viscosity of Quantum Hall Fluids, <a title=\"Viscosity of Quantum Hall Fluids, Phys. Rev. Lett. 75, 697-700, (1995), with R. Seiler and P. Zograf (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_75_697_1995_viscosity.pdf\">Phys. Rev. Lett. 75, 697-700, (1995)<\/a>, with R. Seiler and P. Zograf.<\/li>\n\n\n\n<li>The index of pair of projections, <a title=\"The index of pair of projections, J. Func. Anal. 120, 220-237, (1994), with R. Seiler and B. Simon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/J_Func_Anal_120_220_1994_index_pair.pdf\">J. Func. Anal. 120, 220-237, (1994)<\/a>, with R. Seiler and B. Simon.<\/li>\n\n\n\n<li>Charge Deficiency, Charge Transport and Comparison of Dimensions, <a title=\"Charge Deficiency, Charge Transport and Comparison of Dimensions, Commun. Math. Phys. 159, 399-422, (1994), with R. Seiler and B. Simon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_Math_Phys_159_399_1994.pdf\">Commun. Math. Phys. 159, 399-422, (1994)<\/a>, with R. Seiler and B. Simon.<\/li>\n\n\n\n<li>Periodic Schr\u00f6dinger Operators with Large Gaps and Wannier-Stark Ladders, <a title=\"Periodic Schr\u00f6dinger Operators with Large Gaps and Wannier-Stark Ladders, Phys. Rev. Lett. 72, 896-899, (1994), with P. Exner and Y. Last (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_72_896_1994largegaps.pdf\">Phys. Rev. Lett. 72, 896-899, (1994)<\/a>, with P. Exner and Y. Last.<\/li>\n\n\n\n<li>Hall Conductance and adiabatic charge transport of leaky tori, <a title=\"Hall Conductance and adiabatic charge transport of leaky tori, Phys. Rev. Lett. 69, 128-131, (1992), with M. Klein, A. Pnueli and L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_69_128_1992_leakytori.pdf\">Phys. Rev. Lett. 69, 128-131, (1992)<\/a>, with M. Klein, A. Pnueli and L. Sadun.<\/li>\n\n\n\n<li><a href=\"https:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2023\/03\/avron-pnueli.pdf\">Landau Hamiltonians on Symmetric Spaces<\/a>, with A. Pnueli, in &#8220;Ideas and Methods in Mathematical analysis, stochastics, and applications Vol II&#8221;, S. Albeverio, J. E. Fenstad, H. Holden and T. Lindstrom, Editors, Cambridge University Press,(1992).<\/li>\n\n\n\n<li>Adiabatic transport in networks with macroscopic components, <a title=\"Adiabatic transport in networks with macroscopic components, Ann. Phys. 206, 440-493, (1991), with L. Sadun (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/ann_phys_206_44_1991_sadun.pdf\">Ann. Phys. 206, 440-493, (1991)<\/a>, with L. Sadun.<\/li>\n\n\n\n<li>Relation between Persistent Currents and the Scattering Matrix,<a href=\"https:\/\/www.dropbox.com\/s\/jsg21sjwba406l1\/AAASPhysRevLett.66.76.pdf?dl=0\"> Phys. Rev. Lett 66 (1991)<\/a> with E. Akkermans, A. Auerbach and B. Shapiro<\/li>\n\n\n\n<li>Quantum Hall effect and the relative index of Projections, <a title=\"Quantum Hall effect and the relative index of Projections, Phys. Rev. Lett. 65, 2185-2189, (1990), with R.Seiler and B. Simon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_65_2185-2189_1990.pdf\">Phys. Rev. Lett. 65, 2185-2189, (1990)<\/a>, with R.Seiler and B. Simon.<\/li>\n\n\n\n<li>On the measure of the spectrum of the Almost Mathieu operator,<a title=\"On the measure of the spectrum of the Almost Mathieu operator, Commun. Math. Phys. 132, 103-118 (1990), with P.H.M. van Mouches and B. Simon (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/commun_math_phys_132_103-118_1990.pdf\">Commun. Math. Phys. 132, 103-118 (1990)<\/a>, with P.H.M. van Mouches and B. Simon.<\/li>\n\n\n\n<li>Adiabatic theorems for dense point spectra, <a title=\"Adiabatic theorems for dense point spectra, Commun. Math. Phys. 128, 497-507, (1990), with J. Howland and B. Simon.(pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_math_phys_128_497-507_1990.pdf\">Commun. Math. Phys. 128, 497-507, (1990)<\/a>, with J. Howland and B. Simon.<\/li>\n\n\n\n<li>Chern numbers, Quaternions and Berry&#8217;s phase in Fermi systems,&nbsp;<a title=\"Chern numbers, Quaternions and Berry's phase in Fermi systems, Commun. Math. Phys. 124, 595-627, (1989) with J. Segert, L. Sadun and B. Simon\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/commun_math_phys_124_595-627_1989.pdf\">Commun. Math. Phys. 124, 595-627, (1989)<\/a>, with J. Segert, L. Sadun and B. Simon.<\/li>\n\n\n\n<li>Integer charge transport in Josephson junctions,<a href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2018\/05\/CrossPhysRevB.39.756.pdf\">Phys. Rev. B. 39. 756 (1989)<\/a> with M. Cross<\/li>\n\n\n\n<li>Adiabatic theorems and applications to the quantum Hall effect,<a title=\"Adiabatic theorems and applications to the quantum Hall effect, Commun. Math. Phys. 110, 33-49, (1987) with R. Seiler and L.G. Yaffe (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/commun_math_phys_110_33-49_1987.pdf\">Commun. Math. Phys. 110, 33-49, (1987)<\/a>, with R. Seiler and L.G. Yaffe.<\/li>\n\n\n\n<li>Diophantine equation for the Hall conductance for interacting electrons on a torus, <a title=\"Diophantine equation for the Hall conductance for interacting electrons on a torus, Phys. Rev. Lett. 56, 2084, (1986), with L. G. Yaffe. (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_56_2084_1986_DiophantinYaffe.pdf\">Phys. Rev. Lett. 56, 2084, (1986)<\/a>, with L. G. Yaffe.<\/li>\n\n\n\n<li>Quantization of the Hall conductance for general multiparticle Schrodinger operators, <a title=\"Quantization of the Hall conductance for general multiparticle Schrodinger operators, Phys. Rev. Lett. 54, (1985) 259-262, with R.Seiler (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_54_259-262_1985.pdf\">Phys. Rev. Lett. 54, (1985) 259-262<\/a>, with R.Seiler.<\/li>\n\n\n\n<li>Homotopy and quantization in condensed matter physics, <a title=\"Homotopy and quantization in condensed matter physics, Phys. Rev. Lett. 51, 51-54, (1983), with R.Seiler and B. Simon\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Phys_Rev_Lett_51_51-54_1983.pdf\">Phys. Rev. Lett. 51, 51-54, (1983)<\/a>, with R.Seiler and B. Simon.<\/li>\n\n\n\n<li><a href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2018\/03\/Phys_Rev_Lett_56_2084_1986_DiophantinYaffe.pdf\">Diophantin equation for the Hall conductance of interacting electrons,&nbsp; <\/a>Phys. Rev. Lett. 56 2084, 1986 with L. Yaffe<\/li>\n\n\n\n<li><a href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2018\/03\/Quantised_Hall_conductance_in_a_perfect_crystal.pdf\">Quantised Hall conductance in a perfect crystal<\/a>, J. Phys. C 1985, with Y. Dana and J. Zak<\/li>\n\n\n\n<li>The lifetime of Wannier ladder states, <a title=\"The lifetime of Wannier ladder states, The lifeAnn. Phys. 143, 33-53, (1982) (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/ann_phys_143_33-53_1982.pdf\">Ann. Phys. 143, 33-53, (1982)<\/a>.<\/li>\n\n\n\n<li>Roughening Transition in the <sup>4<\/sup>He Solid-Superfluid Interface, <a title=\"Roughening Transition in the 4He Solid-Superfluid Interface, Phys. Rev. Lett. 45, 814 (1980)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2018\/05\/Phys_Rev_Lett_45_814_1980.pdf\">Phys. Rev. Lett. 45, 814 (1980)<\/a>, with L. S. Balfour, C. G. Kuper, J. Landau, S. G. Lipson, and L. S. Schulman.<\/li>\n\n\n\n<li>Spectral and scattering theory of Schrodinger operators related to the Stark effect, <a title=\"Spectral and scattering theory of Schrodinger operators related to the Stark effect, Commun. Math. Phys. 52, 239-254 (1977), with I. W. Herbst (pdf file)\" href=\"http:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2013\/05\/Commun_math_Phys_52_239\u2014254_1977.pdf\">Commun. Math. Phys. 52, 239-254 (1977)<\/a>, with I. W. Herbst.<\/li>\n\n\n\n<li>Instability of the continuous spectrum: The\u00a0<em>N<\/em>\u2010band Stark ladder,\u00a0<a href=\"https:\/\/phsites.technion.ac.il\/avron\/wp-content\/uploads\/sites\/3\/2026\/01\/J_Math_Phys_18_918_1977.pdf\">J. Math. Phys.18 (5), 918\u2013921, (1977)<\/a>. with \u00a0J. Zak,\u00a0A. Grossmann,\u00a0L. Gunther.\u00a0<a href=\"https:\/\/doi.org\/10.1063\/1.523360\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1063\/1.523360<\/a><\/li>\n\n\n\n<li>Model calculations of Stark ladder resonances Phys. Rev. Lett 37, 1568 (1976).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Selected publications in PDF (1977-2019).<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"_acf_changed":false,"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":{"1":"page","2":"type-page","5":"entry"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Publications - Prof. Joseph Avron<\/title>\n<meta name=\"description\" content=\"Selected publications in PDF (1977-2019). Homotopy of periodic 2 \u00d7 2 matrices.&nbsp;J. Math. Phys. 2024; 65, 051902 (2024).&nbsp;with Ari M. Turner. An\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/phsites.technion.ac.il\/avron\/publications\/\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"8 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/avron\\\/publications\\\/\",\"url\":\"https:\\\/\\\/phsites.technion.ac.il\\\/avron\\\/publications\\\/\",\"name\":\"Publications - Prof. Joseph Avron\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/avron\\\/#website\"},\"datePublished\":\"2013-05-26T12:56:37+00:00\",\"dateModified\":\"2026-01-28T08:30:03+00:00\",\"description\":\"Selected publications in PDF (1977-2019). Homotopy of periodic 2 \u00d7 2 matrices.&nbsp;J. Math. Phys. 2024; 65, 051902 (2024).&nbsp;with Ari M. Turner. 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Homotopy of periodic 2 \u00d7 2 matrices.&nbsp;J. Math. Phys. 2024; 65, 051902 (2024).&nbsp;with Ari M. Turner. An","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/phsites.technion.ac.il\/avron\/publications\/","twitter_misc":{"Est. reading time":"8 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/phsites.technion.ac.il\/avron\/publications\/","url":"https:\/\/phsites.technion.ac.il\/avron\/publications\/","name":"Publications - Prof. Joseph Avron","isPartOf":{"@id":"https:\/\/phsites.technion.ac.il\/avron\/#website"},"datePublished":"2013-05-26T12:56:37+00:00","dateModified":"2026-01-28T08:30:03+00:00","description":"Selected publications in PDF (1977-2019). Homotopy of periodic 2 \u00d7 2 matrices.&nbsp;J. Math. Phys. 2024; 65, 051902 (2024).&nbsp;with Ari M. Turner. 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