A relativistic model of the N-dimensional singular oscillator

作者:Nagiyev S M*; Jafarov E I; Efendiyev M Y
来源:Journal of Physics A-Mathematical and Theoretical, 2007, 40(2): 289-295.
DOI:10.1088/1751-8113/40/2/008

摘要

An exactly solvable N-dimensional model of the quantum isotropic singular oscillator in the relativistic configurational (r) over right arrow (N)-space is proposed. It is shown that through the simple substitutions the finite-difference equation for the N-dimensional singular oscillator can be reduced to the similar finite-difference equation for the relativistic isotropic three-dimensional singular oscillator. We have found the radial wavefunctions and energy spectrum of the problem and constructed a dynamical symmetry algebra.

  • 出版日期2007-1-12

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