Accurate calculation of the eigenvalues of a new simple class of superpotentials in SUSY quantum mechanics

TL;DR

This paper enhances eigenvalue calculations for specific SUSY partner Hamiltonians using improved variational and Riccati-Padé methods, providing more accurate results in supersymmetric quantum mechanics.

Contribution

It introduces an improved variational approach and applies the Riccati-Padé method to accurately compute eigenvalues for a new class of SUSY partner potentials.

Findings

Enhanced accuracy of eigenvalues for SUSY partner Hamiltonians

Demonstrated effectiveness of Riccati-Padé method for these potentials

Validated improvements over previous computational approaches

Abstract

We obtain accurate eigenvalues for two recently derived SUSY partner Hamiltonians. We improve the Rayleigh-Ritz variational method proposed by the authors and show how to apply the Riccati-Pad\'{e} method to those particular partner potentials.