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Phase Space Quantum Mechanics - Direct

S. Nasiri·Y. Sobouti·F. Taati
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Abstract

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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S. Nasiri, Y. Sobouti, F. Taati. 2006-05-15. Phase Space Quantum Mechanics - Direct. https://doi.org/10.1063/1.2345109

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