Classical and quantum mechanical two body problem with central interaction on simply connected spaces of constant sectional curvature

DOI10.1016/S0034-4877(99)80160-8zbMath0964.81024MaRDI QIDQ1573833

Alexey V. Shchepetilov

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

energy levelsclassical and quantumMarsden-Weinstein method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (1)

PRECESSION AND CHAOS IN THE CLASSICAL TWO-BODY PROBLEM IN A SPHERICAL UNIVERSE

Cites Work

• Reduction of symplectic manifolds with symmetry
• Constraints, reduction, and quantization
• Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature
• Reduction, quantization, and nonunimodular groups
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