scholarly journals Supersymmetry in quantum mechanics with point interactions

2003 ◽  
Vol 562 (3-4) ◽  
pp. 358-364 ◽  
Author(s):  
Tomoaki Nagasawa ◽  
Makoto Sakamoto ◽  
Kazunori Takenaga
1985 ◽  
Vol 146 (8) ◽  
pp. 553 ◽  
Author(s):  
L.E. Gendenshtein ◽  
I.V. Krive

1997 ◽  
Vol 12 (10) ◽  
pp. 1875-1894 ◽  
Author(s):  
R. S. Bhalla ◽  
A. K. Kapoor ◽  
P. K. Panigrahi

In the framework of the quantum Hamilton–Jacobi (QHJ) formalism, we show how both the unbroken and the spontaneously broken phase of supersymmetry in quantum mechanics can arise in a natural manner, for appropriate ranges of the parameters appearing in the potential. The Gozzi index, which is related to the quantum action variable in the QHJ formalism, is shown to correctly differentiate the two phases of supersymmetry.


10.1142/4687 ◽  
2001 ◽  
Author(s):  
Fred Cooper ◽  
Avinash Khare ◽  
Uday Sukhatme

2018 ◽  
pp. 93-112
Author(s):  
Nelson Bolivar ◽  
Gabriel Abellán

2001 ◽  
Vol 16 (13) ◽  
pp. 845-851 ◽  
Author(s):  
SH. MAMEDOV ◽  
JIAN-ZU ZHANG ◽  
V. ZHUKOVSKII

The role of supercharge operators is studied in the case of a Dirac particle moving in a constant chromomagnetic field. The Hamiltonian is factorized and the ground state wave function in the case of unbroken supersymmetry is determined.


1988 ◽  
Vol 100 (5) ◽  
pp. 797-802 ◽  
Author(s):  
A. Lahiri ◽  
P. Kumar Roy ◽  
B. Bagchi

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