Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1689
Title: A quantum Hamilton Jacobi proof of the nodal structure of the wave functions of supersymmetric partner potentials
Authors: Sree Ranjani, P.
Kapoor, A. K.
KHARE, AVINASH
Panigrahi, P. K.
Dept. of Physics
Keywords: Quantum Hamilton-Jacobi formalism
Supersymmetry
Gozzis criterion Exactly solvable models
Bound states
2013
Issue Date: Aug-2013
Publisher: Indian Academy of Sciences
Citation: Pramana, 81(2), 237-246.
Abstract: Quantum Hamilton–Jacobi formalism is used to give a proof for Gozzi’s criterion, which states that for eigenstates of the supersymmetric partners, corresponding to the same energy, the difference in the number of nodes is equal to one when supersymmetry (SUSY) is unbroken and is zero when SUSY is broken. We also show that this proof is also applicable to the case, where isospectral deformation is involved.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1689
https://doi.org/10.1007/s12043-013-0558-8
ISSN: 0304-4289
0973-7111
Appears in Collections:JOURNAL ARTICLES

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