Constructions of the Soluble Potentials for the Nonrelativistic Quantum System by Means of the Heun Functions

The Schrödinger equation ψ′′(x)+κ2ψ(x)=0 where κ2=k2-V(x) is rewritten as a more popular form of a second order differential equation by taking a similarity transformation ψ(z)=ϕ(z)u(z) with z=z(x). The Schrödinger invariant IS(x) can be calculated directly by the Schwarzian derivative z,x and the i...

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Bibliographic Details
Main Authors: Shishan Dong, G. Yáñez-Navarro, M. A. Mercado Sanchez, C. Mejía-García, Guo-Hua Sun, Shi-Hai Dong
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/9824538
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