Phase Space Quantum Mechanics - Direct

Details Phase Space Quantum Mechanics - Direct Phase Space Quantum Mechanics - Direct

2006-05-15

arxiv.org/abs/quant-ph/0605129v1

JOURNAL OF MATHEMATICAL PHYSICS 47, 092106 2006

Physics

Quantum Physics

16 pages

Scientific paper

Conventional approach to quantum mechanics in phase space, (q,p), is to take the operator based quantum mechanics of Schrodinger, or and equivalent, and assign a c-number function in phase space to it. We propose to begin with a higher level of abstraction, in which the independence and the symmetric role of q and p is maintained throughout, and at once arrive at phase space state functions. Upon reduction to the q- or p-space the proposed formalism gives the conventional quantum mechanics, however, with a definite rule for ordering of factors of non commuting observables. Further conceptual and practical merits of the formalism are demonstrated throughout the text.

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