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

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

2012-03-18

arxiv.org/abs/1203.3965v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures

Scientific paper

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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