A relativistic model of the isotropic three-dimensional singular oscillator

DOI10.1016/J.PHYSLETA.2004.11.021zbMath1123.81421arXivmath-ph/0411054OpenAlexW2113277880MaRDI QIDQ2463231

Sh. M. Nagiyev, R. M. Imanov, L. Homorodean, E. I. Jafarov

Publication date: 5 December 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0411054

zbMATH Keywords

finite-difference equationcontinuous dual Hahn polynomialsrelativistic isotropic singular oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (3)

Relativistic quantum particle in a homogeneous external field ⋮ Relativistic quantum particle in a time-dependent homogeneous field ⋮ Solution of the Logunov-Tavkhelidze equation for the three-dimensional oscillator potential in the relativistic configuration representation

Cites Work

• Unnamed Item
• A relativistic superalgebra in a generalized Schrödinger picture
• Singular potentials and moving boundaries in 3D
• The covariant linear oscillator and generalized realization of the dynamical SU(1,1) symmetry algebra
• RELATIVISTIC COULOMB RESUMMATION IN QCD
• A Relativistic Model of the Isotropic Oscillator
• The relativistic linear singular oscillator
• Exchange operator formalism for integrable systems of particles
• Spectrum of a spin chain with inverse square exchange

This page was built for publication: A relativistic model of the isotropic three-dimensional singular oscillator