The supersymmetric modified Poschl-Teller and delta well potentials

被引：73
作者：
Díaz, JI [1 ]
Negro, J [1 ]
Nieto, LM [1 ]
Rosas-Ortiz, O [1 ]
机构：
[1] Univ Valladolid, Dept Fis Teor, Valladolid 47005, Spain
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 48期
关键词：
D O I：
10.1088/0305-4470/32/48/308
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
New supersymmetric (SUSY) partners of the modified Poschl-Teller and the Dirac's delta well potentials are constructed in closed form. The resulting one-parametric potentials are shown to be interrelated by a limiting process. The range of values of the parameters for which these potentials are free of singularities is exactly determined. The construction of higher-order SUSY partner potentials is also investigated.
引用
收藏
页码：8447 / 8460
页数：14
相关论文
共 32 条
  • [1] POTENTIAL SCATTERING, TRANSFER-MATRIX, AND GROUP-THEORY
    ALHASSID, Y
    GURSEY, F
    IACHELLO, F
    [J]. PHYSICAL REVIEW LETTERS, 1983, 50 (12) : 873 - 876
  • [2] INTERTWINING OF THE EQUATIONS OF BLACK-HOLE PERTURBATIONS
    ANDERSON, A
    PRICE, RH
    [J]. PHYSICAL REVIEW D, 1991, 43 (10): : 3147 - 3154
  • [3] ATKINSON DA, 1975, AM J PHYS, V43, P1301
  • [4] ALGEBRAIC TREATMENT OF 2ND POSCHL-TELLER, MORSE-ROSEN AND ECKART EQUATIONS
    BARUT, AO
    INOMATA, A
    WILSON, R
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13): : 4083 - 4096
  • [5] Boya L. J., 1988, European Journal of Physics, V9, P139, DOI 10.1088/0143-0807/9/2/011
  • [6] Supersymmetric one-parameter strict isospectrality for the attractive δ potentials
    Boya, LJ
    Rosu, HC
    Segui-Santonja, AJ
    Socorro, J
    Vila, FJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (44): : 8835 - 8839
  • [7] SUPERSYMMETRIC QUANTUM-MECHANICAL MODELS WITH CONTINUOUS-SPECTRUM AND THE WITTEN INDEX
    BRADEN, HW
    MACFARLANE, AJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (16): : 3151 - 3156
  • [8] CARROL RW, 1979, TRANSMUTATION OPERAT, V37
  • [9] Cooper F., 1995, Physics Reports, V251, P267, DOI 10.1016/0370-1573(94)00080-M
  • [10] Darboux G., 1882, CR HEBD ACAD SCI, V94, P1456
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