an:06151499
Zbl 1447.81132
Mukherjee, Neetik
A simple and effective technique to variationally interpret the structure of SUSY partners of mirror image potentials
EN
J. Math. Chem. 51, No. 3, 954-975 (2013).
00315608
2013
j
81Q60 81Q05 81R12 14J33 41A50
SUSY quantum mechanics; mirror image potentials; isospectrality; enantiomers
Summary: Precise supersymmetric partner potentials can be generated for exactly solvable problems of the stationary Schr??dinger 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.