Quantum particle on hyperboloid

Details Quantum particle on hyperboloid Quantum particle on hyperboloid

2003-08-11

arxiv.org/abs/gr-qc/0308030v1

Class.Quant.Grav. 21 (2004) 331-336

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures, revtex4

Scientific paper

10.1088/0264-9381/21/1/024

We present quantization of particle dynamics on one-sheet hyperboloid
embedded in three dimensional Minkowski space. Taking account of all global
symmetries enables unique quantization. Making use of topology of canonical
variables not only simplifies calculations but also gives proper framework for
analysis.

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