The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects

DOI10.1063/1.4804356zbMath1366.70012OpenAlexW2081221402MaRDI QIDQ5402250

H. N. Núñez-Yépez, A. L. Salas-Brito, Rodolfo P. Martínez-y-Romero

Publication date: 6 March 2014

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

Full work available at URL: https://semanticscholar.org/paper/5b7e9479bc0e8d5bc04b9fdb315468960635f21d

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Two-body problems (70F05)

Related Items (6)

Comment on “The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects” [J. Math. Phys. 54, 053509 (2013)] ⋮ Classical and quantum dynamics in an inverse square potential ⋮ On periodic solutions to Lagrangian system with singularities and constraints ⋮ A new version of the Aharonov-Bohm effect ⋮ New classes of exact solutions to three-dimensional Schrödinger equation ⋮ Construction of a few quantum mechanical Hamiltonians via Lévy-Leblond type linearization: Clifford momentum, spinor states and supersymmetry

Cites Work

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• Some algebraically solvable three-body problems in one dimension
• REGULARIZED GREEN'S FUNCTION FOR THE INVERSE SQUARE POTENTIAL
• Regularization of kepler's problem and the averaging method on a manifold
• Singular Potentials
• Bound states in one-dimensional quantum \(N\)-body systems with inverse square interaction

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