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

Abstract:This paper considers the Rayleigh-Ritz variational calculations with non-orthogonal basis sets that exhibit the correct asymptotic behaviour. This approach is illustrated by constructing suitable basis sets for onedimensional models such as the two double-well oscillators recently considered by other authors. The rate of convergence of the variational method proves to be considerably greater than the one exhibited by the recently developed orthogonal polynomial projection quantization. PACS (

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

Abstract: 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-Padé method to those particular partner potentials. PACS (

Cited by 2 publications

References 5 publications

Similarity transformation in PT-symmetry: limitations

Similarity transformation in PT-symmetry: limitations

Rayleigh-Ritz variational method with suitable asymptotic behaviour

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