Published January 17, 2005 | Version v1
Journal article Metadata-only

A relativistic model of the isotropic three-dimensional singular oscillator

Creators

  • 1. Institute of Physics, Azerbaijan National Academy of Sciences, Javid ave. 33, AZ1143 Baku (Azerbaijan)
  • 2. Physics Department, Ganja State University, A. Camil str. 1, 374700 Ganja (Azerbaijan)
  • 3. University of Petrosani, University str. 20, 332006 Petrosani (Romania)

Description

Exactly solvable model of the quantum isotropic three-dimensional singular oscillator in the relativistic configurational r->-space is proposed. We have found the radial wavefunctions, which are expressed through the continuous dual Hahn polynomials and energy spectrum for the model under consideration. It is shown that they have the correct non-relativistic limits

Additional details

Identifiers

DOI
10.1016/j.physleta.2004.11.021;
arXiv
arXiv:math-ph/0411054v1;
PII
S0375-9601(04)01617-2;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
334
Journal Issue
4
Journal Page Range
p. 260-266
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36059847
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ENERGY SPECTRA; EQUATIONS; EXACT SOLUTIONS; FINITE DIFFERENCE METHOD; OSCILLATORS; POLYNOMIALS; RELATIVISTIC RANGE; THREE-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS
Descriptors DEC
CALCULATION METHODS; ELECTRONIC EQUIPMENT; ENERGY RANGE; EQUIPMENT; FUNCTIONS; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; SPECTRA

Optional Information

Copyright
Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.