Quantum and classical mechanics on homogeneous Riemannian manifolds

DOI10.1063/1.525231zbMath0514.70022OpenAlexW2042462198WikidataQ115332606 ScholiaQ115332606MaRDI QIDQ3660973

Gérard G. Emch

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525231

zbMATH Keywords

equilibrium statistical mechanicshomogeneous Riemannian manifoldscompact manifolds of constant negative curvatureLobatchevski spacecorrespondence rulesconfiguration space manifold not flatJordan and Lie algebra structuresMackey foundationssolution to Dirac problemWigner-Moyal correspondence rules

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) General mathematical topics and methods in quantum theory (81Q99) Induced representations for locally compact groups (22D30) Dynamical systems and ergodic theory (37-XX) General models, approaches, and methods in mechanics of particles and systems (70G99)

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Cites Work

• On the Quantum Correction For Thermodynamic Equilibrium
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
• On the principles of elementary quantum mechanics