An Enlarged Canonical Quantization Scheme and Quantization of a Free Particle on Two-Dimensional Sphere

DOI10.1088/0253-6102/63/1/04zbMath1305.81097OpenAlexW2283269707MaRDI QIDQ5174620

Zhong-Shuai Zhang, Shi-Fa Xiao, D. M. Xun, Quan-hui Liu

Publication date: 18 February 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/63/1/04

zbMATH Keywords

quantizationintrinsic geometrycurved surfaceCartesian coordinatestwo-dimensional spherical surface

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Dirac equation in the presence of Hartmann and ring-shaped oscillator potentials ⋮ Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface ⋮ Geometric Potential and Dirac Quantization ⋮ No existence of the geometric potential for a Dirac fermion on a two-dimensional curved surface of revolution ⋮ Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity ⋮ The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere ⋮ Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole

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