Canonical variables and analysis on so(n,2)

Details Canonical variables and analysis on so(n,2) Canonical variables and analysis on so(n,2)

2000-08-28

arxiv.org/abs/math-ph/0008038v1

J. Phys. A: Math. Gen. 34 2367 (2001)

Physics

Mathematical Physics

15 pages, LaTeX

Scientific paper

10.1088/0305-4470/34/11/327

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.

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