On the dynamics of a particle on a hyperboloid

DOI10.1016/j.aop.2013.05.003zbMath1286.81091OpenAlexW2036079994WikidataQ62044909 ScholiaQ62044909MaRDI QIDQ2442346

Krzysztof Kowalski, Jakub Rembieliński

Publication date: 3 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.aop.2013.05.003

zbMATH Keywords

quantum mechanicsconstrained systemsclassical mechanicsmotion on a hyperboloid

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Holonomic systems related to the dynamics of a system of particles (70F20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Quantum mechanical treatment of a constrained particle on two dimensional sphere ⋮ Quantum mechanics of a constrained particle on an ellipsoid: bein formalism and geometric momentum ⋮ Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry?

Uses Software

• DLMF

Cites Work

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• Quantum-classical correspondence for motion on a plane with deficit angle
• On the dynamics of a particle on a cone
• Runge-Lenz vector, accidental SU(2) symmetry, and unusual multiplets for motion on a cone
• On the quantum dynamics of a point particle in conical space
• The Bargmann representation for the quantum mechanics on a sphere
• Nonrelativistic quantum dynamics on a cone with and without a constraining potential
• Coherent state quantization of a particle in de Sitter space
• Elementary Differential Geometry
• Quantum particle on hyperboloid
• Quantum mechanics on a sphere and coherent states
• Integrable systems of group SO(1,2) and Green’s functions

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