Exact solutions of the Schrodinger equation (-d/dx2+x2+ λx2/(1 +gx2))ψ(x) =Eψ(x)
- 1 April 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (4) , 1217-1226
- https://doi.org/10.1088/0305-4470/15/4/024
Abstract
The authors prove the existence of a class of exact eigenvalues and eigenfunctions of the Schrodinger equation for the potential x2 + λx2/(1 + gx2) when certain algebraic relations between λ and g hold. Some of the properties of these solutions are discussed. It is shown that in a certain sense they may be regarded as Sturmians for the Schrodinger equation with the potential x2 - λ/(g + g2x2).Keywords
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