Phase space methods for particles on a circle

Details Phase space methods for particles on a circle Phase space methods for particles on a circle

2005-04-04

arxiv.org/abs/quant-ph/0504015v1

J. Math. Phys. 44 (2003) 5084-5094

Physics

Quantum Physics

Scientific paper

10.1063/1.1616997

The phase space $S\times Z$ for a particle on a circle is considered. Displacement operators in this phase space are introduced and their properties are studied. Wigner and Weyl functions in this context are also considered and their physical interpretation and properties are discussed. All results are compared and contrasted with the corresponding ones for the harmonic oscillator in the $R \times R$ phase space.

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