Revisiting " Morse potential on Quantum Computer for Molecules and Supersymmetric Quantum Mechanics" arxiv:2102.05102v1[quant-physics]

TL;DR

This paper revisits the Morse potential on quantum computers, addressing contradictions in energy eigenvalues for negative parameters and proposing a corrected superpotential form valid for all parameter signs, with implications for supersymmetric quantum mechanics.

Contribution

It introduces a corrected superpotential formulation that remains valid for both positive and negative parameters, clarifying previous contradictory results in supersymmetric Morse potentials.

Findings

Corrected superpotential remains valid for all parameter signs

Eigenvalues are invariant in complex space without T-symmetry discussion

Contradictory behaviors for negative A are resolved

Abstract

We find theoretical results on energy eigenvalues and corresponding supersymmetric Hamiltonians reflect contradictory behavior for negative values of A. furthermore the resulting supersymmetric partners potentials can be model scattering states instead of bound states, However following the literature ( Flu 1979);J and A (J. Physics A 2020), we suggest a correct form of super potential , which remains valid for both positive and negative values of constants. A from this in complex space also the eigenvalues remain invariant without discussion of T-symmetry as the previous discussion appears incomplete.