Conditionally exactly solvable potentials and supersymmetric transformations

被引:9
|
作者
Lévai, G
Roy, P
机构
[1] Hungarian Acad Sci, Inst Nucl Res, H-4001 Debrecen, Hungary
[2] Indian Stat Inst, Phys & Appl Math Unit, Calcutta 700035, W Bengal, India
基金
匈牙利科学研究基金会;
关键词
D O I
10.1016/S0375-9601(99)00778-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A general procedure is presented to construct conditionally exactly solvable (CES) potentials using the techniques of supersymmetric quantum mechanics. The method is illustrated with potentials related to the harmonic oscillator problem. Besides recovering known results, new CES potentials are also obtained within the framework of this general approach. The conditions under which this method leads to CES potentials are also discussed. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:117 / 123
页数:7
相关论文
共 50 条
  • [41] NEW SUPERSYMMETRIC AND EXACTLY SOLVABLE MODEL OF CORRELATED ELECTRONS
    BRACKEN, AJ
    GOULD, MD
    LINKS, JR
    ZHANG, YZ
    PHYSICAL REVIEW LETTERS, 1995, 74 (14) : 2768 - 2771
  • [42] An exactly solvable supersymmetric spin chain of BCN type
    Barba, J. C.
    Finkel, F.
    Gonzalez-Lopez, A.
    Rodridguez, M. A.
    NUCLEAR PHYSICS B, 2009, 806 (03) : 684 - 714
  • [43] New exactly and conditionally exactly solvable N-body problems in one dimension
    Gurappa, N
    Kumar, CN
    Panigrahi, PK
    MODERN PHYSICS LETTERS A, 1996, 11 (21) : 1737 - 1744
  • [44] A conditionally exactly solvable generalization of the inverse square root potential
    Ishkhanyan, A. M.
    PHYSICS LETTERS A, 2016, 380 (45) : 3786 - 3790
  • [45] SO(2,1) LIE-ALGEBRA AND THE GREEN-FUNCTIONS FOR THE CONDITIONALLY EXACTLY SOLVABLE POTENTIALS
    DUTRA, AD
    BOSCHIFILHO, H
    PHYSICAL REVIEW A, 1994, 50 (04): : 2915 - 2920
  • [46] Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations
    Zelaya, K.
    Rosas-Ortiz, O.
    QUANTUM FEST 2016 INTERNATIONAL CONFERENCE ON QUANTUM PHENOMENA, QUANTUM CONTROL AND QUANTUM OPTICS, 2017, 839
  • [47] EXACTLY SOLVABLE POTENTIALS AND THE CONCEPT OF SHAPE INVARIANCE
    CHUAN, CX
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (19): : L1165 - L1174
  • [48] Generation of new classes of exactly solvable potentials
    Ahmed, Syed A. S.
    Buragohain, Lakhi
    PHYSICA SCRIPTA, 2009, 80 (02)
  • [49] Two exactly solvable potentials for diatomic molecules
    Sun, Jiuxun
    Zhang, Liyuan
    Yantu Gongcheng Xuebao/Chinese Journal of Geotechnical Engineering, 1996, 18 (06): : 1953 - 1959
  • [50] SUPERSYMMETRY, SHAPE INVARIANCE, AND EXACTLY SOLVABLE POTENTIALS
    DUTT, R
    KHARE, A
    SUKHATME, UP
    AMERICAN JOURNAL OF PHYSICS, 1988, 56 (02) : 163 - 168