The Relativistic Linear Singular Oscillator

Abstract

Exactly-solvable model of the linear singular oscillator in the relativistic configurational space is considered. We have found wavefunctions and energy spectrum for the model under study. It is shown that they have correct non-relativistic limits.

14 pages, 12 figures in eps format, IOP style LaTeX file (revised taking into account referees suggestions)

References in corpus (3)

• Exchange Operator Formalism for Integrable Systems of Particles
• Spectrum of a spin chain with inverse square exchange
• Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential

Cited by in corpus (6)

• Bound States of the Dirac Equation for a Class of Effective Quadratic Plus Inversely Quadratic Potentials
• An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy
• A relativistic model of the isotropic three-dimensional singular oscillator
• On a dynamical symmetry group of the relativistic linear singular oscillator
• Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator
• A relativistic model of the $N$-dimensional singular oscillator