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 that this proof is also applicable to the case, where isospectral deformation is involved. 
S. Sree Ranjani, A. K. Kapoor, A. Khare and P. K. Panigrahi
math-ph math.MP quant-ph