English

Canonical variables and analysis on so(n,2)

Mathematical Physics 2011-02-11 v1 math.MP Representation Theory

Abstract

The approach of Berezin to the quantization of so(n,2) via generalized coherent states is considered in detail. A family of n commuting observables is found in which the basis for an associated Fock-type representation space is expressed. An interesting feature is that computations can be done by explicit matrix calculations in a particular basis. The basic technical tool is the Leibniz function, the inner product of coherent states.

Keywords

Cite

@article{arxiv.math-ph/0008038,
  title  = {Canonical variables and analysis on so(n,2)},
  author = {Ph. Feinsilver and M. Giering and J. Kocik},
  journal= {arXiv preprint arXiv:math-ph/0008038},
  year   = {2011}
}

Comments

15 pages, LaTeX