Extended SUSY quantum mechanics, intertwining operators and coherent states

被引:21
作者
Bagarello, F. [1 ]
机构
[1] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy
关键词
D O I
10.1016/j.physleta.2008.08.047
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose an extension of supersymmetric quantum mechanics which produces a family of isospectral Hamiltonians. Our procedure slightly extends the idea of intertwining operators. Several examples of the construction are given. Further, we show how to build up vector coherent states of the Gazeau-Klauder type associated to our Hamiltonians. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:6226 / 6231
页数:6
相关论文
共 18 条
[1]   Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry [J].
Ali, S. Twareque ;
Bagarello, F. .
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (03)
[2]   Nonlinear supersymmetry for spectral design in quantum mechanics [J].
Andrianov, AA ;
Cannata, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (43) :10297-10321
[4]  
Cannata F, 1998, AIP CONF PROC, V453, P209, DOI 10.1063/1.57097
[5]  
Cooper F., 2001, Supersymmetry In Quantum Mechanics
[6]   Higher-dimensional susy quantum mechanics [J].
Das, A ;
Okubo, S ;
Pernice, SA .
MODERN PHYSICS LETTERS A, 1997, 12 (08) :581-588
[7]   Two families of superintegrable and isospectral potentials in two dimensions [J].
Demircioglu, B ;
Kuru, S ;
Önder, M ;
Verçin, A .
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (05) :2133-2150
[8]   Coherent states for Hamiltonians generated by supersymmetry [J].
Fernandez, David J. ;
Hussin, Veronique ;
Rosas-Ortiz, Oscar .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (24) :6491-6511
[9]   INTERPOLATION BETWEEN FERMI AND BOSE STATISTICS USING GENERALIZED COMMUTATORS [J].
FIVEL, DI .
PHYSICAL REVIEW LETTERS, 1990, 65 (27) :3361-3364
[10]   CORRECTION [J].
FIVEL, DI .
PHYSICAL REVIEW LETTERS, 1992, 69 (13) :2020-2020