naa a22 4500 510768121 CHVBK 20180411083203.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s12043-013-0558-8 doi (NATIONALLICENCE)springer-10.1007/s12043-013-0558-8 A quantum Hamilton-Jacobi proof of the nodal structure of the wave functions of supersymmetric partner potentials [Elektronische Daten] [S RANJANI, A KAPOOR, AVINASH KHARE, P PANIGRAHI] 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. Indian Academy of Sciences, 2013 Quantum Hamilton-Jacobi formalism nationallicence supersymmetry nationallicence Gozzi's criterion nationallicence exactly solvable models nationallicence bound states nationallicence RANJANI S. School of Physics, University of Hyderabad, 500 046, Hyderabad, India aut KAPOOR A. School of Physics, University of Hyderabad, 500 046, Hyderabad, India aut KHARE AVINASH Indian Institute of Science Education and Research, Sai Trinity Building, Garware Circle, Pashan, 411 021, Pune, India aut PANIGRAHI P. Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, 714 252, Nadia, India aut Pramana Springer India 81/2(2013-08-01), 237-246 0304-4289 81:2<237 2013 81 12043 https://doi.org/10.1007/s12043-013-0558-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-013-0558-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- RANJANI S. School of Physics, University of Hyderabad, 500 046, Hyderabad, India aut NATIONALLICENCE 700 1- KAPOOR A. School of Physics, University of Hyderabad, 500 046, Hyderabad, India aut NATIONALLICENCE 700 1- KHARE AVINASH Indian Institute of Science Education and Research, Sai Trinity Building, Garware Circle, Pashan, 411 021, Pune, India aut NATIONALLICENCE 700 1- PANIGRAHI P. Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, 714 252, Nadia, India aut NATIONALLICENCE 773 0- Pramana Springer India 81/2(2013-08-01), 237-246 0304-4289 81:2<237 2013 81 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer