Group analysis of Schroedinger equation with generalised Kratzer type potential

2004/01/13 by Karmadeva Maharana, Maharana, Karmadeva
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0401026

10 pages

arxiv created 2004/01/13 · arxiv updated 2009/12/01

Abstract

Using the method of su(1,1) spectrum generating algebra, we analyze one dimensional Schroedinger equation with potential in the form C\overx² + D\overx to obtain a class of potentials giving similar eigenvalues. By a group analysis of the differential equation it is found that the symmetry gets enhanced for particular values of C and D. The generators of the Lie algebra do not close. The extension of the vector field gives rise to an interesting algebra.

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