SHAPE INVARIANCE OF COULOMB PROBLEMS

被引:5
作者
DELANGE, OL
WELTER, A
机构
关键词
D O I
10.1119/1.16905
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
It is shown that the Coulomb problems associated with the Schrodinger, Klein-Gordon, and Dirac equations are shape invariant. This property is used to obtain the energy eigenvalues and the normalized coordinate-space eigenfunctions for bound states of these problems.
引用
收藏
页码:254 / 257
页数:4
相关论文
共 13 条
[1]  
Abramowitz M., 1972, HDB MATH FUNCTIONS F, P504
[2]  
Blockley C. A., 1985, European Journal of Physics, V6, P218, DOI 10.1088/0143-0807/6/4/001
[3]   RELATIONSHIP BETWEEN SUPERSYMMETRY AND SOLVABLE POTENTIALS [J].
COOPER, F ;
GINOCCHIO, JN ;
KHARE, A .
PHYSICAL REVIEW D, 1987, 36 (08) :2458-2473
[4]   SUPERSYMMETRY AND THE DIRAC-EQUATION [J].
COOPER, F ;
KHARE, A ;
MUSTO, R ;
WIPF, A .
ANNALS OF PHYSICS, 1988, 187 (01) :1-28
[5]   A SIMPLE SOLUTION FOR THE DIRAC HYDROGENLIKE ATOM [J].
DELANGE, OL .
AMERICAN JOURNAL OF PHYSICS, 1989, 57 (10) :883-886
[6]  
GENDENSHTEIN LE, 1983, JETP LETT+, V38, P356
[7]   RADIAL MOMENTUM OPERATOR [J].
LIBOFF, RL ;
NEBENZAHL, I ;
FLEISCHMANN, HH .
AMERICAN JOURNAL OF PHYSICS, 1973, 41 (08) :976-980
[8]  
Schiff L. I., 1955, QUANTUM MECH, Vsecond
[9]   SUPERSYMMETRY AND THE DIRAC-EQUATION OF A NEUTRAL PARTICLE WITH AN ANOMALOUS MAGNETIC-MOMENT IN A CENTRAL ELECTROSTATIC-FIELD [J].
SEMENOV, VV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15) :L721-L723
[10]   SIMPLIFIED SOLUTIONS OF THE DIRAC-COULOMB EQUATION [J].
SU, JY .
PHYSICAL REVIEW A, 1985, 32 (06) :3251-3257