The confluent algorithm in second-order supersymmetric quantum mechanics

被引:0
作者
Fernández, DJ
Salinas-Hernández, E
机构
[1] CINVESTAV, Dept Fis, Mexico City 07000, DF, Mexico
[2] Inst Politecn Nacl, Escuela Super Fis & Matemat, Mexico City 07738, DF, Mexico
[3] Inst Politecn Nacl, Escuela Super Comp, Mexico City 07738, DF, Mexico
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 10期
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暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The confluent algorithm, a degenerate case of the second-order supersymmetric quantum mechanics, is studied. It is shown that the transformation function must asymptotically vanish to induce non-singular final potentials. The technique can be used to create a single level above the initial ground state energy. The method is applied to the free particle, one-soliton well and harmonic oscillator.
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页码:2537 / 2543
页数:7
相关论文
共 25 条
[1]   CHANGES IN POTENTIALS DUE TO CHANGES IN THE POINT SPECTRUM - ANHARMONIC-OSCILLATORS WITH EXACT-SOLUTIONS [J].
ABRAHAM, PB ;
MOSES, HE .
PHYSICAL REVIEW A, 1980, 22 (04) :1333-1340
[2]   2ND-ORDER DERIVATIVE SUPERSYMMETRY, Q-DEFORMATIONS AND THE SCATTERING PROBLEM [J].
ANDRIANOV, AA ;
IOFFE, MV ;
CANNATA, F ;
DEDONDER, JP .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (18) :2683-2702
[3]   HIGHER-DERIVATIVE SUPERSYMMETRY AND THE WITTEN INDEX [J].
ANDRIANOV, AA ;
IOFFE, MV ;
SPIRIDONOV, VP .
PHYSICS LETTERS A, 1993, 174 (04) :273-279
[4]   Classification of type A N-fold supersymmetry [J].
Aoyama, H ;
Nakayama, N ;
Sato, M ;
Tanaka, T .
PHYSICS LETTERS B, 2001, 521 (3-4) :400-408
[5]   The supersymmetric modified Poschl-Teller and delta well potentials [J].
Díaz, JI ;
Negro, J ;
Nieto, LM ;
Rosas-Ortiz, O .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (48) :8447-8460
[6]   H-bond simulation in DNA using a harmonic oscillator isospectral potential [J].
Drigo, D ;
Ruggiero, JR .
PHYSICAL REVIEW E, 1997, 56 (04) :4486-4488
[7]  
Erdelyi A., 1953, Higher Transcendental Functions, California Institute of Technology. Bateman Manuscript Project, V1
[8]   The phenomenon of Darboux displacements [J].
Fernández, CDJ ;
Mielnik, B ;
Rosas-Ortiz, O ;
Samsonov, BF .
PHYSICS LETTERS A, 2002, 294 (3-4) :168-174
[9]   Second-order supersymmetric periodic potentials [J].
Fernández, DJ ;
Negro, J ;
Nieto, LM .
PHYSICS LETTERS A, 2000, 275 (5-6) :338-349
[10]   SUSUSY quantum mechanics [J].
Fernandez, DJ .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (01) :171-176