On the relationship between the Wigner-Moyal and Bohm approaches to quantum mechanics: a step to a more general theory?

DOI10.1007/s10701-009-9320-yzbMath1188.81010OpenAlexW2157955354WikidataQ64357919 ScholiaQ64357919MaRDI QIDQ972631

Basil J. Hiley

Publication date: 21 May 2010

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.638.4295

zbMATH Keywords

quantum mechanicsBohm approachquantum geometriesWigner-Moyal approach

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Transport processes in time-dependent statistical mechanics (82C70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (8)

Quantum dynamics in phase space: Moyal trajectories 3 ⋮ Hydrodynamic interpretation of generic squeezed coherent states: a kinetic theory ⋮ Quantum blobs ⋮ A phase-space formulation and Gaussian approximation of the filtering equations for nonlinear quantum stochastic systems ⋮ Fermi's ansatz and Bohm's quantum potential ⋮ Quantum dynamics in phase space: Moyal trajectories 2 ⋮ Misleading signposts along the de Broglie-Bohm road to quantum mechanics ⋮ Quantum Trajectories: Dirac, Moyal and Bohm

Cites Work

• Quantum equilibrium and the origin of absolute uncertainty
• Quantum chaos, classical randomness, and Bohmian mechanics
• The optimal pure Gaussian state canonically associated to a Gaussian quantum state
• The construction of spinors in geometric algebra
• The quantum motion of half-densities and the derivation of Schrödinger's equation
• Algebraic and Dirac–Hestenes spinors and spinor fields
• A Refutation of the Proof by Jauch and Piron that Hidden Variables Can be Excluded in Quantum Mechanics
• A Proposed Solution of the Measurement Problem in Quantum Mechanics by a Hidden Variable Theory
• Twistor Algebra
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Comments on a Letter Concerning the Causal Interpretation of the Quantum Theory
• The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space
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