Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface

DOI10.1016/j.aop.2015.10.019zbMath1343.81160arXiv1502.02110OpenAlexW2106557229MaRDI QIDQ305377

Hong-Shi Zong, Yong-Long Wang

Publication date: 29 August 2016

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

Full work available at URL: https://arxiv.org/abs/1502.02110

zbMATH Keywords

constrained systemsgeometric potentialthin-layer quantization formalism

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Modifications of Electron States, Magnetization, and Persistent Current in a Quantum Dot by Controlled Curvature ⋮ A Curved Noninteracting 2D Electron Gas with Anisotropic Mass ⋮ Geometric Potential and Dirac Quantization ⋮ A spin-less particle on a rotating curved surface in Minkowski space ⋮ The geometric potential of a double-frequency corrugated surface ⋮ The influence of corrugations on spin polarization in magnetic field ⋮ Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface

Cites Work

• Quantum motion of a point particle in the presence of the Aharonov-Bohm potential in curved space
• Constraint-induced mean curvature dependence of Cartesian momentum operators
• Elliptical tori in a constant magnetic field

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