A proof of the nodal structure of the wave functions of supersymmetric partner potentials
Quantum Hamilton-Jacobi formalism is used to give a proof for Gozzi's criterion that for eigenstates of the supersymmetric partners, corresponding to 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 show...
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| creator | Ranjani, S. Sree Kapoor, A. K Khare, A Panigrahi, P. K |
| description | Quantum Hamilton-Jacobi formalism is used to give a proof for Gozzi's
criterion that for eigenstates of the supersymmetric partners, corresponding to
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 show that
this proof is also applicable to the case, where isospectral deformation is
involved. |
| doi_str_mv | 10.48550/arxiv.1207.1559 |
| format | Article |
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same energy, the difference in the number of nodes is equal to one when
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supersymmetry (SUSY) is unbroken and is zero when SUSY is broken. We show that
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criterion that for eigenstates of the supersymmetric partners, corresponding to
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 show that
this proof is also applicable to the case, where isospectral deformation is
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| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Quantum Physics |
| title | A proof of the nodal structure of the wave functions of supersymmetric partner potentials |
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