A quantum Hamilton–Jacobi proof of the nodal structure of the wave functions of supersymmetric partner potentials

Pramana

P K Panigrahi²  S Sree Ranjani1 2³  A K Kapoor1³  Avinash Khare¹ 

[1] Indian Institute of Science Education and Research, Sai Trinity Building, Garware Circle, Pashan, Pune 411 021, India$$;Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Nadia 714 252, India$$;School of Physics, University of Hyderabad, Hyderabad 500 046, India$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown