A simple and effective technique to variationally interpret the structure of SUSY partners of mirror image potentials
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Precise supersymmetric partner potentials can be generated for exactly solvable problems of the stationary Schrödinger equation. Construction of isospectral potential is not always possible for exactly solvable systems. This is a restriction, as most problems are not exactly solvable. Employment of mirror-image property can help to construct an exact isospectral partner of that potential. These potentials have chemical relevance to enantiomers. In this paper, we present a formulation as modelling to explore the form of SUSY pair of these potentials. Through polynomial fit, we correlate all possible basic SUSY partners and optimise it to best fit polynomial to present a typical energy value of N = 50.
KeywordsSUSY quantum mechanics Mirror image potentials Isospectrality Enantiomers
Neetik Mukherjee is greatful to CSIR, INDIA for financial support. He also greatfully acknowledges the support of computational infrastructure of developed by Prof. S. N. Sarkar (Dept of Electronic Science, University of Calcutta) in his fibre optics laboratory as well as helpful and critical discussion with him.
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