Quantum dynamics of a particle constrained to lie on a surface

DOI10.1063/1.4895761zbMath1316.81035arXiv1310.6651OpenAlexW3101326632MaRDI QIDQ2924885

Gustavo de Oliveira

Publication date: 20 October 2014

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

Full work available at URL: https://arxiv.org/abs/1310.6651

zbMATH Keywords

electromagnetic fieldcharged particlequantum dynamicsconstraining potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Motion of charged particles (78A35)

Related Items (4)

Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential ⋮ Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons ⋮ Magneto-dimensional resonance on curved surfaces ⋮ On an extension of the Iwatsuka model

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• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
• Realizing holonomic constraints in classical and quantum mechanics

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