Generalizations of Perelomov's identity on the completeness of coherent states

Martin Greiter and Ronny Thomale
Phys. Rev. B 85, 155145 – Published 30 April 2012
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  • INTRODUCTION
  • THE PERELOMOV IDENTITY
  • GENERALIZATION TO LATTICES WHERE THE…
  • THE PERELOMOV IDENTITY IN UNIAXIAL GAUGE
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    We proof the Perelomov identity for arbitrary 2D lattices using Fourier transformation. We further generalize it to situations where the origin does not coincide with a lattice site and where the form of the exponential factor is reminiscent of magnetic wave functions in uniaxial rather than symmetric gauge.

    • Received 5 March 2012

    DOI:https://doi.org/10.1103/PhysRevB.85.155145

    ©2012 American Physical Society

    Authors & Affiliations

    Martin Greiter

    • Institut für Festskörperphysik, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany

    Ronny Thomale

    • Department of Physics, Stanford University, Stanford, California 94305, USA

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    Issue

    Vol. 85, Iss. 15 — 15 April 2012

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