Ansu(1, 1) algebraic approach for the relativistic Kepler–Coulomb problem

DOI10.1088/1751-8113/43/44/445203zbMath1202.81056arXiv1006.3233OpenAlexW2020635333MaRDI QIDQ3060105

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Publication date: 1 December 2010

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

Full work available at URL: https://arxiv.org/abs/1006.3233

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

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Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime ⋮ \(\mathrm{SU}(1,1)\) coherent states for Dirac-Kepler-Coulomb problem in \(D+1\) dimensions with scalar and vector potentials ⋮ Bound state solutions of the Dirac equation for the trigonometric and hyperbolic Scarf-Grosche potentials using the Nikiforov-Uvarov method ⋮ Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules ⋮ Realizations of the Witt and Virasoro Algebras and Integrable Equations

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