Rs. Bhalla et al., QUANTUM HAMILTON-JACOBI ANALYSIS OF PHASES OF SUPERSYMMETRY IN QUANTUM-MECHANICS, International journal of modern physics A, 12(10), 1997, pp. 1875-1894
In the framework of the quantum Hamilton-Jacobi (QHJ) formalism, we sh
ow how both the unbroken and the spontaneously broken phase of supersy
mmetry in quantum mechanics can arise in a natural manner, for appropr
iate ranges of the parameters appearing in the potential. The Gozzi in
dex, which is related to the quantum action variable in the QHJ formal
ism, is shown to correctly differentiate the two phases of supersymmet
ry.