Dual degeneracy in Supersymmetry

preprint2022arXivOpen access

Abstract

We construct a double degenerate supersymmetry in one dimensional quantum mechanics. Here the energy levels satisfy the conditions E0,1((−)=0E_{0,1}^{((-)}=0 and En,n+1(+)=En+2,n+3(−)E_{n,n+1}^{(+)}=E_{n+2,n+3}^{(-)}.The corresponding SUSY Hamiltonians(H(±)(H^{(\pm)}) are double degenerate in nature. the method has been tested on power law potentials.

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