1203.3965 (Martin Greiter et al.)

Generalizations of Perelomov's identity on the completeness of coherent
states    [PDF]

Martin Greiter, Ronny Thomale

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.

View original: http://arxiv.org/abs/1203.3965