Generalizations of Perelomov's identity on the completeness of coherent states
arXiv:1203.3965 · doi:10.1103/PhysRevB.85.155145
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.
arXiv comment4 pages, no figures
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