Green's functions for reflectionless potentials and addition of boundstates to powerlaw potentials to find Supersymmetric partners

2021/07/09 by C V Sukumar, Sukumar, C. V.
Physics and Astronomy · #FOS: Physical sciences #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2107.04332

openalex publication_date 2021/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Green's functions for reflectionless potentials are constructed and analyzed. Green's functions for power law potentials, their Super Symmetric partners and sum rules for eigenvalues are examined. The SUSY partner potentials to power law potentials which have an additional bound state at E=0 are constructed.

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