{"id":10,"date":"2013-11-25T15:05:30","date_gmt":"2013-11-25T13:05:30","guid":{"rendered":"http:\/\/phsites.technion.ac.il\/zak\/?page_id=10"},"modified":"2020-05-19T10:13:25","modified_gmt":"2020-05-19T07:13:25","slug":"selected-publications","status":"publish","type":"page","link":"https:\/\/phsites.technion.ac.il\/zak\/publications\/selected-publications\/","title":{"rendered":"Selected Publications"},"content":{"rendered":"\n<ol class=\"wp-block-list\"><li>J. Zak, Magnetic Translation Group, <a title=\"Phys. Rev. 134, A1602-A1606 (1964)\" href=\"http:\/\/prola.aps.org\/abstract\/PR\/v134\/i6A\/pA1602_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. 134, A1602-A1606 (1964)<\/a>.<\/li><li>J. Zak, Magnetic Translation Group II. Irreducible Representations, <a title=\"Phys. Rev. 134, A1607-A1611 (1964)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRev.134.A1607\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. 134, A1607-A1611 (1964)<\/a>.<\/li><li>J. Zak, Finite Translations in Solid State Physics, <a title=\"Phys. Rev. Lett. 19, 1385-1387 (1967)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v19\/i24\/p1385_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Letters. 19, 1385-1387 (1967)<\/a>.<\/li><li>H. Bacry, A. Grossmann and J. Zak, Proof of Completeness of Lattice States in the kq-Representation, <a title=\"Phys. Rev. B 12, 1118-1120 (1975)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.12.1118\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. B12, 1118-1120 (1975)<\/a>.<\/li><li>M. Boon and J. Zak, Discrete Coherent States on the von-Neumann Lattice, <a title=\"Phys. Rev. B18, 6744-6751 (1978)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.18.6744\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. B 18, 6744-6751 (1978)<\/a>.<\/li><li>J. Zak, Symmetry Specification of Bands in Solids, <a title=\"Phys. Rev. Lett. 45, 1025 (1980)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v45\/i12\/p1025_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Letters 45, 1025 (1980)<\/a>.<\/li><li>J. Zak, Band Representations and Symmetry Types of Bands in Solids, <a title=\"Phys. Rev. B 23, 2824 (1981)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.23.2824\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. B 23, 2824 (1981)<\/a>.<\/li><li>M. Boon, J. Zak and J. Zucker, Rational von Neumann Lattices, <a title=\"J. Math. Phys. 24, 316 (1983)\" href=\"http:\/\/scitation.aip.org\/content\/aip\/journal\/jmp\/24\/2\/10.1063\/1.525682\" target=\"_blank\" rel=\"noopener noreferrer\">J. Math. Phys. 24, 316 (1983)<\/a>.<\/li><li>J. Zak, Selection Rules for Bands in Solids: Applicatioon to band Calculations, <a title=\"Phys. Rev. B 26, 1959 (1982)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.26.1959\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. B 26, 1959 (1982)<\/a>.<\/li><li>J. Zak, Zak Responds, <a title=\"Phys. Rev. Letters 47, 146 (1981)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v47\/i2\/p146_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Letters 47, 146 (1981)<\/a>.<\/li><li>J. Zak, Band Center &#8211; A Conserved Quantity in Solids, <a title=\"Phys. Rev. Letters 48, 359 (1982)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v48\/i5\/p359_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Letters 48, 359 (1982)<\/a>.<\/li><li>I. Dana and J. Zak, First-Principles Calculation of Diamagnetic Band Structure, <a title=\"Phys. Rev. Letters 48, 1226 (1982)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v48\/i17\/p1226_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Letters 48, 1226 (1982)<\/a>.<\/li><li>S. Bader, G. Zajac and J. Zak, Autoionization Emission from Transition Metals by Electron Impact, <a title=\"Phys. Rev. Lett. 50, 1211 (1983)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.50.1211\" target=\"_blank\" rel=\"noopener noreferrer\">Phys Rev. Letters 50, 1211 (1983).<\/a><\/li><li>J. Zak, Band Crossing and Surface States in Solids, <a title=\"Phys. Letters 106A, 399 (1984)\" href=\"http:\/\/dx.doi.org\/10.1016\/0375-9601(84)90926-5\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Letters 106A, 399 (1984)<\/a>.<\/li><li>J. Zak, Symmetry Criterion for Surface States in solids,<a title=\" Phys. Rev. B32, 2218 (1985)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.32.2218\" target=\"_blank\" rel=\"noopener noreferrer\"> Phys. Rev. B32, 2218 (1985)<\/a>.<\/li><li>I. Dana, Y. Avron and J. Zak, Quantum Hall Conductance in a Perfect Crystal, <a title=\"J. Phys. C18, L679 (1985)\" href=\"http:\/\/iopscience.iop.org\/0022-3719\/18\/22\/004\/\" target=\"_blank\" rel=\"noopener noreferrer\">J. Phys. C18, L679 (1985)<\/a>.<\/li><li>I. Dana and J. Zak, Quantum hall Conductance and Localization in a Magnetic Field, <a title=\"Phys.Rev. B32, 3612 (1985)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.32.3612\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. B32, 3612 (1985)<\/a>.<\/li><li>J. Zak, Two Classes of Composite Energy Bands in Solids,<a title=\" Phys. Rev. Letters 54, 1075 (1985)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.54.1075\" target=\"_blank\" rel=\"noopener noreferrer\"> Phys. Rev. Letters 54, 1075 (1985)<\/a>.<\/li><li>H. Bacry, L. Michel, and J. Zak, Symmetry and Analyticity of Energy Bands in Solids, <a title=\"Phys. Rev. Letters 61, 1005 (1988)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.61.1005\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Letters 61, 1005 (1988)<\/a>.<\/li><li>J. Zak, Von-Neamann Lattices and Magnetic Orbitals in Finite Phase Space, <a title=\"J. Math. Phys. 30, 1591 (1989)\" href=\"http:\/\/dx.doi.org\/10.1063\/1.528292\" target=\"_blank\" rel=\"noopener noreferrer\">J. Math. Phys. 30, 1591 (1989)<\/a>.<\/li><li>J. Zak, Berry&#8217;s Phase for Energy Bands in Solids, <a title=\"Phys. Rev.Lett. 62, 2747 (1989)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v62\/i23\/p2747_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Lett. 62, 2747 (1989)<\/a>.<\/li><li>J. Zak, Berry&#8217;s Phase in the Effective\u000b Hamiltonian Theory in Solids, <a title=\"Phys. Rev. B40, 3156 (1989)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.40.3156\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. B40, 3156 (1989)<\/a>.<\/li><li>J. Zak, E.R. Moog, C. Liu and S.D. Bader, Fundamental Magneto-Optics, <a title=\"J. Appl. Phys. 68, 4203 (1990)\" href=\"http:\/\/scitation.aip.org\/content\/aip\/journal\/jap\/68\/8\/10.1063\/1.346209\" target=\"_blank\" rel=\"noopener noreferrer\">J. Appl. Physics. 68, 4203 (1990)<\/a>.<\/li><li>J. Zak, Finite Translation in Time and Energy, <a title=\"Phys. Rev.Lett. 71, 263 (1993)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v71\/i16\/p2623_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Lett. 71, 263 (1993)<\/a>.<\/li><li>M.B. Walker and J. Zak, Site Symmetry and Band Representations for Phonons, <a title=\"Phys. Rev. Lett. 74, 3824 (1995)\" href=\"http:\/\/ http:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.74.3824\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Lett. 74, 3824 (1995)<\/a>.<\/li><li>L. Michel, M.B. Walker and J. Zak, Continuity of Phonon Spectra for Diamond and Hexagonal Close Packed Structures, <a title=\"Phys. Rev. Lett. 74, 4871 (1995)\" href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v74\/i24\/p4871_1\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Lett. 74, 4871 (1995)<\/a>.<\/li><li>J. Zak, Quantum Mechanical Position Operator in Extended Systems, <a title=\"Phys. Rev. Lett. 85, 1138 (2000)\" href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.85.1138\" target=\"_blank\" rel=\"noopener noreferrer\">Phys. Rev. Lett. 85, 1138 (2000)<\/a>.<\/li><li>J. Zak, Topologically unavoidable points and lines of crossings in the band structure of solids, <a title=\"J. Phys. A:Math. Gen. 35, 6509 (2002)\" href=\"http:\/\/iopscience.iop.org\/0305-4470\/35\/30\/322\/\" target=\"_blank\" rel=\"noopener noreferrer\">J. Phys. A: Math. Gen. 35, 6509 (2002)<\/a>.<\/li><li>J. Zak, Von Neumann Hypothesis concerning coherent states, <a title=\"J. Phys. A: Math. Gen. 36, 2553-2560 (2003)\" href=\"http:\/\/iopscience.iop.org\/0305-4470\/36\/42\/L02\/\" target=\"_blank\" rel=\"noopener noreferrer\">J. Phys. A: Math. Gen. 36, 2553-2560 (2003)<\/a>.<\/li><li>A. Mann, M. Revzen, and J. Zak, Conjugate Variables in Finite Phase Plane, <a title=\"J. Phys. A: Math. Gen. 38, 1389 (2005)\" href=\"http:\/\/iopscience.iop.org\/0305-4470\/38\/21\/L03\/\" target=\"_blank\" rel=\"noopener noreferrer\">J. Phys. A: Math. Gen. 38, 1389 (2005)<\/a>.<\/li><li>A. Mann, M. Revzen, and J. Zak, Simultaneous Measurement of Coordinate and Momentum on a von Neumann lattice, <a title=\"Europhysics Letters83, 10007 (2008)\" href=\"http:\/\/iopscience.iop.org\/0295-5075\/83\/1\/10007\" target=\"_blank\" rel=\"noopener noreferrer\">Europhysics Letters 83, 10007 (2008)<\/a>.<\/li><li>J. Zak, Doubling feature of the Wigner function: fi\fnite phase plane, <a title=\" J. Phys. A:Math. Theor. 44, 345305 (2011)\" href=\"http:\/\/iopscience.iop.org\/1751-8121\/44\/34\/345305\/\" target=\"_blank\" rel=\"noopener noreferrer\">J. Phys. A:Math. Theor. 44, 345305 (2011)<\/a>.<\/li><li>J. Zak, Inversion operators in \ffinite phase plane, <a title=\"J. Math. Phys. 53, 103514 (2012)\" href=\"http:\/\/scitation.aip.org\/content\/aip\/journal\/jmp\/53\/10\/10.1063\/1.4752731\" target=\"_blank\" rel=\"noopener noreferrer\">J. Math. Phys. 53, 103514 (2012)<\/a>.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>J. Zak, Magnetic Translation Group, Phys. Rev. 134, A1602-A1606 (1964). J. Zak, Magnetic Translation Group II. Irreducible Representations, Phys. Rev. 134, A1607-A1611 (1964). J. Zak, Finite Translations in Solid State Physics, Phys. Rev. Letters. 19, 1385-1387 (1967). H. Bacry, A. Grossmann and J. Zak, Proof of Completeness of Lattice States in the kq-Representation, Phys. Rev. &hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":34,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_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":{"0":"post-10","1":"page","2":"type-page","3":"status-publish","5":"entry"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Selected Publications - Prof. Joshua Zak<\/title>\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\/zak\/publications\/selected-publications\/\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/phsites.technion.ac.il\\\/zak\\\/publications\\\/selected-publications\\\/\",\"url\":\"https:\\\/\\\/phsites.technion.ac.il\\\/zak\\\/publications\\\/selected-publications\\\/\",\"name\":\"Selected Publications - 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