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      https://www.ias.ac.in/article/fulltext/pram/081/02/0237-0246

    • Keywords

       

      Quantum Hamilton–Jacobi formalism; supersymmetry; Gozzi’s criterion; exactly solvable models; bound states.

    • 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.

    • Author Affiliations

       

      S Sree Ranjani1 2 A K Kapoor1 3 Avinash Khare4 P K Panigrahi5

      1. School of Physics, University of Hyderabad, Hyderabad 500 046, India
      2. Current address: Faculty of Science and Technology, ICFAI Foundation for Higher Education (Declared as deemed-to-be University u/s 3 of the UGC Act 1956), Donthanapally, Hyderabad 501 203, India
      3. Current address: Department of Physics, Shiv Nadar University, Village Chithera, Tehsil Dadri, Gautam Budh Nagar 203 207, India
      4. Indian Institute of Science Education and Research, Sai Trinity Building, Garware Circle, Pashan, Pune 411 021, India
      5. Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Nadia 714 252, India
    • Dates

       
  • Pramana – Journal of Physics | News

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