Classical mechanics as quantum mechanics with infinitesimal \(\hslash\)

DOI10.1016/0375-9601(95)00344-3zbMath1020.81613OpenAlexW2086054485MaRDI QIDQ1965599

Reinhard F. Werner, Manfred P. H. Wolff

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00344-3

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (4)

The ring of Fermat reals ⋮ Uncertainty relations for angular momentum ⋮ Semi-classical dynamics in quantum spin systems ⋮ Uncertainty from Heisenberg to today

Cites Work

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• Geometric dequantization and the correspondence problem
• The classical limit of quantum partition functions
• Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I
• Deformation quantization of Heisenberg manifolds
• Quantum harmonic analysis on phase space
• MEAN-FIELD DYNAMICAL SEMIGROUPS ON C*-ALGEBRAS
• On the validity of the WKB approximation
• Non-standard analysis

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