Wigner distributions for finite dimensional quantum systems: An algebraic approach

Details Wigner distributions for finite dimensional quantum systems: An algebraic approach Wigner distributions for finite dimensional quantum systems: An algebraic approach

2005-07-11

arxiv.org/abs/quant-ph/0507094v1

Pramana 65 (2005) 981-993

Physics

Quantum Physics

Latex, 13 pages

Scientific paper

10.1007/BF02705275

We discuss questions pertaining to the definition of `momentum', `momentum space', `phase space', and `Wigner distributions'; for finite dimensional quantum systems. For such systems, where traditional concepts of `momenta' established for continuum situations offer little help, we propose a physically reasonable and mathematically tangible definition and use it for the purpose of setting up Wigner distributions in a purely algebraic manner. It is found that the point of view adopted here is limited to odd dimensional systems only. The mathematical reasons which force this situation are examined in detail.

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