Schrödinger formalism for a particle constrained to a surface in R13

DOI10.1063/1.5078442zbMath1414.81098arXiv1805.07428OpenAlexW3104587919WikidataQ124972543 ScholiaQ124972543MaRDI QIDQ4628751

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Publication date: 15 March 2019

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

Full work available at URL: https://arxiv.org/abs/1805.07428

zbMATH Keywords

metamaterialshyperbolic dispersionSchrödinger equation on surfaces of revolution

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special relativity (83A05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (1)

Modifications of Electron States, Magnetization, and Persistent Current in a Quantum Dot by Controlled Curvature

Cites Work

• On the quantum mechanics of a particle constrained to generalized cylinders with application to Möbius strips
• An indefinite Laplacian on a rectangle
• Quantum waveguides
• Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential
• Bound states in curved quantum waveguides
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
• Bound states in curved quantum layers
• A Curved Noninteracting 2D Electron Gas with Anisotropic Mass
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