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Selected Publications

 

  1. J. Zak, Magnetic Translation Group, Phys. Rev. 134, A1602-A1606 (1964).
  2. J. Zak, Magnetic Translation Group II. Irreducible Representations, Phys. Rev. 134, A1607-A1611 (1964).
  3. J. Zak, Finite Translations in Solid State Physics, Phys. Rev. Letters. 19, 1385-1387 (1967).
  4. H. Bacry, A. Grossmann and J. Zak, Proof of Completeness of Lattice States in the kq-Representation, Phys. Rev. B12, 1118-1120 (1975).
  5. M. Boon and J. Zak, Discrete Coherent States on the von-Neumann Lattice, Phys. Rev. B 18, 6744-6751 (1978).
  6. J. Zak, Symmetry Specification of Bands in Solids, Phys. Rev. Letters 45, 1025 (1980).
  7. J. Zak, Band Representations and Symmetry Types of Bands in Solids, Phys. Rev. B 23, 2824 (1981).
  8. M. Boon, J. Zak and J. Zucker, Rational von Neumann Lattices, J. Math. Phys. 24, 316 (1983).
  9. J. Zak, Selection Rules for Bands in Solids: Applicatioon to band Calculations, Phys. Rev. B 26, 1959 (1982).
  10. J. Zak, Zak Responds, Phys. Rev. Letters 47, 146 (1981).
  11. J. Zak, Band Center – A Conserved Quantity in Solids, Phys. Rev. Letters 48, 359 (1982).
  12. I. Dana and J. Zak, First-Principles Calculation of Diamagnetic Band Structure, Phys. Rev. Letters 48, 1226 (1982).
  13. S. Bader, G. Zajac and J. Zak, Autoionization Emission from Transition Metals by Electron Impact, Phys Rev. Letters 50, 1211 (1983).
  14. J. Zak, Band Crossing and Surface States in Solids, Phys. Letters 106A, 399 (1984).
  15. J. Zak, Symmetry Criterion for Surface States in solids, Phys. Rev. B32, 2218 (1985).
  16. I. Dana, Y. Avron and J. Zak, Quantum Hall Conductance in a Perfect Crystal, J. Phys. C18, L679 (1985).
  17. I. Dana and J. Zak, Quantum hall Conductance and Localization in a Magnetic Field, Phys. Rev. B32, 3612 (1985).
  18. J. Zak, Two Classes of Composite Energy Bands in Solids, Phys. Rev. Letters 54, 1075 (1985).
  19. H. Bacry, L. Michel, and J. Zak, Symmetry and Analyticity of Energy Bands in Solids, Phys. Rev. Letters 61, 1005 (1988).
  20. J. Zak, Von-Neamann Lattices and Magnetic Orbitals in Finite Phase Space, J. Math. Phys. 30, 1591 (1989).
  21. J. Zak, Berry’s Phase for Energy Bands in Solids, Phys. Rev. Lett. 62, 2747 (1989).
  22. J. Zak, Berry’s Phase in the Effective Hamiltonian Theory in Solids, Phys. Rev. B40, 3156 (1989).
  23. J. Zak, E.R. Moog, C. Liu and S.D. Bader, Fundamental Magneto-Optics, J. Appl. Physics. 68, 4203 (1990).
  24. J. Zak, Finite Translation in Time and Energy, Phys. Rev. Lett. 71, 263 (1993).
  25. M.B. Walker and J. Zak, Site Symmetry and Band Representations for Phonons, Phys. Rev. Lett. 74, 3824 (1995).
  26. L. Michel, M.B. Walker and J. Zak, Continuity of Phonon Spectra for Diamond and Hexagonal Close Packed Structures, Phys. Rev. Lett. 74, 4871 (1995).
  27. J. Zak, Quantum Mechanical Position Operator in Extended Systems, Phys. Rev. Lett. 85, 1138 (2000).
  28. J. Zak, Topologically unavoidable points and lines of crossings in the band structure of solids, J. Phys. A: Math. Gen. 35, 6509 (2002).
  29. J. Zak, Von Neumann Hypothesis concerning coherent states, J. Phys. A: Math. Gen. 36, 2553-2560 (2003).
  30. A. Mann, M. Revzen, and J. Zak, Conjugate Variables in Finite Phase Plane, J. Phys. A: Math. Gen. 38, 1389 (2005).
  31. A. Mann, M. Revzen, and J. Zak, Simultaneous Measurement of Coordinate and Momentum on a von Neumann lattice, Europhysics Letters 83, 10007 (2008).
  32. J. Zak, Doubling feature of the Wigner function: fi nite phase plane, J. Phys. A:Math. Theor. 44, 345305 (2011).
  33. J. Zak, Inversion operators in finite phase plane, J. Math. Phys. 53, 103514 (2012).