Phase-space descriptions of operators and the Wigner distribution in quantum mechanics I. A Dirac inspired view

Details Phase-space descriptions of operators and the Wigner distribution in quantum mechanics I. A Dirac inspired view Phase-space descriptions of operators and the Wigner distribution in quantum mechanics I. A Dirac inspired view

2005-07-06

arxiv.org/abs/quant-ph/0507053v2

Physics

Quantum Physics

12 pages, typos corrected, submitted to Jour. Phys. A

Scientific paper

Drawing inspiration from Dirac's work on functions of non commuting observables, we develop a fresh approach to phase space descriptions of operators and the Wigner distribution in quantum mechanics. The construction presented here is marked by its economy, naturalness and more importantly, by its potential for extensions and generalisations to situations where the underlying configuration space is non Cartesian.

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