Generalizations of Perelomov's identity on the completeness of coherent states
classification
❄️ cond-mat.str-el
keywords
identityperelomovarbitrarycoherentcoincidecompletenessexponentialfactor
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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.
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