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• W1964342816 abstract "We postulate a formulation of quantum mechanics which is based solely on a quasi-probability function on the classical phase space. We then show that this formulation is equivalent to the standard formulation, and that the quasi-probability function is exactly analogous to the density matrix of Dirac and von Neumann. We investigate the theory of measurement in this formulation and derive the following remarkable results. As is well known, the correspondence between classical functions of both the position and conjugate momentum and quantum mechanical operators is ambiguous because of noncommutativity. We show that the solution of this correspondence problem is completely equivalent to the solution of the eigenvalue problem. This result enables us to give a constructive method to compute eigenvalues and eigenfunctions." @default.
• W1964342816 created "2016-06-24" @default.
• W1964342816 creator A5050149583 @default.
• W1964342816 date "1958-03-15" @default.
• W1964342816 modified "2023-10-16" @default.
• W1964342816 title "Formulation of Quantum Mechanics Based on the Quasi-Probability Distribution Induced on Phase Space" @default.
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• W1964342816 doi "https://doi.org/10.1103/physrev.109.2198" @default.
• W1964342816 hasPublicationYear "1958" @default.
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