Quantum mechanical treatment of a constrained particle on two dimensional sphere

DOI10.1016/j.aop.2016.10.011zbMath1378.81040OpenAlexW2536529695MaRDI QIDQ1689642

Peng Zhang

Publication date: 17 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.aop.2016.10.011

zbMATH Keywords

quantum mechanicsintertwining methodmotion on a sphereSmorodinsky-Winternitz potentialthree dimensional harmonic oscillator potentialtrigonometric Rosen-Morse non-central potential

Mathematics Subject Classification ID

Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

A Curved Noninteracting 2D Electron Gas with Anisotropic Mass

Cites Work

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• Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints
• Dynamical breaking of supersymmetry
• Classical and quantum dynamics of a particle constrained on a circle
• Quantum mechanics of a constrained particle on an ellipsoid: bein formalism and geometric momentum
• Intertwined Hamiltonians in two-dimensional curved spaces
• On the dynamics of a particle on a cone
• On the dynamics of a particle on a hyperboloid
• Quantum Mechanics in Riemannian Manifold
• Two families of superintegrable and isospectral potentials in two dimensions

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