EXACT-SOLUTIONS FOR NONPOLYNOMIAL POTENTIALS IN N-SPACE DIMENSIONS USING A FACTORIZATION METHOD AND SUPERSYMMETRY

被引：27

作者：

ADHIKARI, R ^{[1
]}

DUTT, R ^{[1
]}

VARSHNI, YP ^{[1
]}

机构：

[1] UNIV OTTAWA,DEPT PHYS,OTTAWA K1N 6N5,ONTARIO,CANADA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 02期

关键词：

D O I：

10.1063/1.529432

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A supersymmetry-inspired factorization method is used to obtain exact analytic solutions for one or a few quantum states of a broad class of nonpolynomial potentials in an arbitrary space dimension under suitable constraints on the potential parameters. For the specific nonpolynomial oscillator potential, V(x) = x2 + lambda-x2/(1 + gx2), previous analytic results including algebraic and integral type in one and three dimensions are easily obtainable from these compact expressions. Interesting aspects of the existence of pairs of solutions for certain combinations of lambda and g are also discussed.

引用

页码：447 / 456

页数：10

共 46 条

[1] EXACT-SOLUTIONS FOR POLYNOMIAL POTENTIALS USING SUPERSYMMETRY INSPIRED FACTORIZATION METHOD [J].