Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces

DOI10.1088/0143-0807/38/1/015402zbMath1354.81024arXiv1610.09663OpenAlexW3106113832WikidataQ114097086 ScholiaQ114097086MaRDI QIDQ2957404

M. S. Shikakhwa, Noureddine Chair

Publication date: 26 January 2017

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

Full work available at URL: https://arxiv.org/abs/1610.09663

zbMATH Keywords

gauge-covariant Hamiltonian on a curved surfacequantum mechanics on spheres and cylindersSchrödinger equation on a sphere and a cylinder

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• Hermitian spin-orbit Hamiltonians on a surface in orthogonal curvilinear coordinates: a new practical approach
• Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
• Quantum Mechanics on S 1 Based on Dirac Formalism

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