PROPAGATORS FOR SHAPE-INVARIANT POTENTIALS

被引：18

作者：

DAS, A

HUANG, WJ

机构：

[1] Department of Physics and Astronomy, University of Rochester, Rochester

来源：

PHYSICAL REVIEW D | 1990年 / 41卷 / 10期

关键词：

D O I：

10.1103/PhysRevD.41.3241

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive recursion relations for the propagators of shape-invariant potentials both in the operator formulation as well as in the path-integral formulation. This allows us to determine the form of the propagators recursively. We evaluate the propagators explicitly, for several shape-invariant potentials, using this method. © 1990 The American Physical Society.

引用

页码：3241 / 3247

页数：7

共 34 条

[1]

ANDERSON A, IN PRESS ANN PHYS NY

[2] ON THE CONNECTION BETWEEN PHASE SHIFTS AND SCATTERING POTENTIAL [J].

BARGMANN, V .

REVIEWS OF MODERN PHYSICS, 1949, 21 (03) :488-493

[3]

BHATTACHARJIE A, 1962, NUOVO CIMENTO, V25, P864, DOI 10.1007/BF02733153

[4]

Bose A. K., 1964, NUOVO CIMENTO, V32, P679, DOI DOI 10.1007/BF02735890

[5] ASPECTS OF SUPERSYMMETRIC QUANTUM-MECHANICS [J].

COOPER, F ;

FREEDMAN, B .

ANNALS OF PHYSICS, 1983, 146 (02) :262-288

[6]

CRUM MM, 1978, Q J MATH PHYS, V61, P1

[7] 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

[8]

DAS A, 1986, QUANTUM MECHANICS MO

[9]

Das A., 1989, INTEGRABLE MODELS, DOI DOI 10.1142/0858

[10] APPLICATIONS OF A COMMUTATION FORMULA [J].

DEIFT, PA .

DUKE MATHEMATICAL JOURNAL, 1978, 45 (02) :267-310

← 1 2 3 4 →