EXACTLY SOLVABLE SUPERSYMMETRIC QUANTUM-MECHANICS

被引:168
作者
ARAI, A
机构
[1] Department of Mathematics, Hokkaido University, Sapporo
关键词
D O I
10.1016/0022-247X(91)90267-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In an abstract framework, we present a class of supersymmetric quantum mechanics whose eigenvalue problem is (in part) exactly solvable. In concrete realizations, the class includes supersymmetric quantum mechanical models associated with one-dimensional or radial Schrödinger operators with potentials of a special type, called "shape-invariant potentials" in the physics literature. © 1991.
引用
收藏
页码:63 / 79
页数:17
相关论文
共 15 条
[1]   SOME REMARKS ON SCATTERING-THEORY IN SUPERSYMMETRIC QUANTUM-SYSTEMS [J].
ARAI, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (02) :472-476
[2]   A GENERAL-CLASS OF (ESSENTIALLY) ISOSPECTRAL PERTURBATIONS [J].
ARAI, A .
LETTERS IN MATHEMATICAL PHYSICS, 1990, 19 (03) :217-227
[3]   SUPERSYMMETRY AND SINGULAR PERTURBATIONS [J].
ARAI, A .
JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 60 (03) :378-393
[4]   WITTEN INDEX, AXIAL ANOMALY, AND KREIN SPECTRAL SHIFT FUNCTION IN SUPERSYMMETRIC QUANTUM-MECHANICS [J].
BOLLE, D ;
GESZTESY, F ;
GROSSE, H ;
SCHWEIGER, W ;
SIMON, B .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (07) :1512-1525
[5]   RELATIONSHIP BETWEEN SUPERSYMMETRY AND SOLVABLE POTENTIALS [J].
COOPER, F ;
GINOCCHIO, JN ;
KHARE, A .
PHYSICAL REVIEW D, 1987, 36 (08) :2458-2473
[6]   EXPLICIT WAVEFUNCTIONS FOR SHAPE-INVARIANT POTENTIALS BY OPERATOR TECHNIQUES [J].
DABROWSKA, JW ;
KHARE, A ;
SUKHATME, UP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (04) :L195-L200
[7]   APPLICATIONS OF A COMMUTATION FORMULA [J].
DEIFT, PA .
DUKE MATHEMATICAL JOURNAL, 1978, 45 (02) :267-310
[9]  
GENDENSHTEIN LE, 1983, JETP LETT+, V38, P356
[10]   SUPERSYMMETRIC QUANTUM-MECHANICS DEFINED AS SESQUILINEAR FORMS [J].
GROSSE, H ;
PITTNER, L .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13) :4265-4284