The supersymmetric modified Poschl-Teller and delta well potentials

被引：75

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

页码：8447 / 8460

页数：14

共 32 条

[1] POTENTIAL SCATTERING, TRANSFER-MATRIX, AND GROUP-THEORY [J].

ALHASSID, Y ;

GURSEY, F ;

IACHELLO, F .

PHYSICAL REVIEW LETTERS, 1983, 50 (12) :873-876

[2] INTERTWINING OF THE EQUATIONS OF BLACK-HOLE PERTURBATIONS [J].

ANDERSON, A ;

PRICE, RH .

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 [J].

BARUT, AO ;

INOMATA, A ;

WILSON, R .

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 [J].

Boya, LJ ;

Rosu, HC ;

Segui-Santonja, AJ ;

Socorro, J ;

Vila, FJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (44) :8835-8839

[7] SUPERSYMMETRIC QUANTUM-MECHANICAL MODELS WITH CONTINUOUS-SPECTRUM AND THE WITTEN INDEX [J].

BRADEN, HW ;

MACFARLANE, AJ .

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

← 1 2 3 4 →