A relativistic model of the isotropic three-dimensional singular oscillator

被引：11
作者：
Nagiyev, SM
Jafarov, EI
Imanov, RM
Homorodean, L
机构：
[1] Azerbaijan Natl Acad Sci, Inst Phys, AZ-1143 Baku, Azerbaijan
[2] Ganja State Univ, Dept Phys, Ganja 374700, Azerbaijan
[3] Univ Petrosani, Petrosani 332006, Romania
来源：
PHYSICS LETTERS A | 2005年 / 334卷 / 04期
关键词：
relativistic isotropic singular oscillator; finite-difference equation; continuous dual Hahn polynomials;
D O I：
10.1016/j.physleta.2004.11.021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：260 / 266
页数：7
相关论文
共 31 条
[1]   QUASIPOTENTIAL MODELS OF A RELATIVISTIC OSCILLATOR [J].
ATAKISHIEV, NM ;
MIRKASIMOV, RM ;
NAGIEV, SM .
THEORETICAL AND MATHEMATICAL PHYSICS, 1980, 44 (01) :592-603
[2]  
ATAKISHIYEV NM, 1985, ANN PHYS-BERLIN, V42, P25, DOI 10.1002/andp.19854970104
[3]   SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION [J].
CALOGERO, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2191-&
[4]   Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials [J].
de Castro, AS .
ANNALS OF PHYSICS, 2004, 311 (01) :170-181
[5]   EVEN AND ODD COHERENT STATES AND EXCITATIONS OF A SINGULAR OSCILLATOR [J].
DODONOV, VV ;
MALKIN, IA ;
MANKO, VI .
PHYSICA, 1974, 72 (03) :597-615
[6]   Quantum singular oscillator as a model of a two-ion trap: An amplification of transition probabilities due to small-time variations of the binding potential [J].
Dodonov, VV ;
Man'ko, VI ;
Rosa, L .
PHYSICAL REVIEW A, 1998, 57 (04) :2851-2858
[7]  
DONKOV AD, 1971, THEORETICHESKAYA MAT, V8, P61, DOI 10.1007/BF01038676
[8]   CURRENT MATRIX ELEMENTS FROM A RELATIVISTIC QUARK MODEL [J].
FEYNMAN, RP ;
KISLINGER, M ;
RAVNDAL, F .
PHYSICAL REVIEW D, 1971, 3 (11) :2706-+
[9]   SPECTRUM OF A SPIN CHAIN WITH INVERSE-SQUARE EXCHANGE [J].
FRAHM, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (10) :L473-L479
[10]   ON A RELATIVISTIC QUASIPOTENTIAL EQUATION WITH LOCAL INTERACTION [J].
FREEMAN, M ;
MATEEV, MD ;
MIRKASIM.RM .
NUCLEAR PHYSICS B, 1969, B 12 (01) :197-&
1234