Quantum mechanics of a constrained particle on an ellipsoid: bein formalism and geometric momentum

DOI10.1016/j.aop.2016.04.013zbMath1380.81173OpenAlexW2344727770MaRDI QIDQ1698149

Peng Zhang

Publication date: 21 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.aop.2016.04.013

zbMATH Keywords

quantum mechanicsellipsoidDirac methodgeometric momentumbein formalism

Mathematics Subject Classification ID

Hamilton's equations (70H05) Geometry and quantization, symplectic methods (81S10) Constrained dynamics, Dirac's theory of constraints (70H45)

Related Items (4)

Geometric momentum and angular momentum for charge-monopole system ⋮ A Curved Noninteracting 2D Electron Gas with Anisotropic Mass ⋮ Quantum mechanical treatment of a constrained particle on two dimensional sphere ⋮ No existence of the geometric potential for a Dirac fermion on a two-dimensional curved surface of revolution

Cites Work

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• On the dynamics of a particle on a hyperboloid
• Quantum Mechanics in Riemannian Manifold
• Constraint-induced mean curvature dependence of Cartesian momentum operators
• The physical meaning of the embedded effect in the quantum submanifold system
• Foundations of Quantum Mechanics
• Geometry of \(2\)d spacetime and quantization of particle dynamics
• Quantum mechanics on Riemannian manifold in Schwinger's quantization approach. II

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