Free particle and isotropic harmonic oscillator on a spheroidal surface: The Higgs-like approach

DOI10.1063/1.5079468zbMath1421.81047arXiv1808.09175OpenAlexW2889432064MaRDI QIDQ5234078

Ehsan Amooghorban, Ali Mahdifar

Publication date: 9 September 2019

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

Full work available at URL: https://arxiv.org/abs/1808.09175

zbMATH Keywords

spacial constrained motion

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• Quantum Field Theory in Curved Spacetime
• Dynamical symmetries in a spherical geometry. I
• Dynamical symmetries in a spherical geometry. II
• The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• A Note on the Kepler Problem in a Space of Constant Negative Curvature
• Quantum Fields in Curved Space

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