General Solution of the Schrodinger Equation for Some Hyperbolic Potentials

Date

2020-10-01

Author

Alıcı, Haydar
Tanriverdi, T.

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In this study, we obtain the recursive general solution of the Schrodinger equation y(v)'' (x; lambda) + [lambda - nu(nu + 1) v(x)] y(nu) (x; lambda) = 0 for some Poschl-Teller type potentials when nu = 0, 1, 2,.... As a by product of the general solution, the finitely many bound states of the squared hyperbolic secant and tangent potentials are also derived when equipped with some suitable boundary conditions over the real line.

URI

https://hdl.handle.net/11511/115763

Journal

FEW-BODY SYSTEMS

DOI

https://doi.org/10.1007/s00601-020-01575-z

Collections

Department of Mathematics, Article

Citation Formats

H. Alıcı and T. Tanriverdi, “General Solution of the Schrodinger Equation for Some Hyperbolic Potentials,” FEW-BODY SYSTEMS, vol. 61, no. 4, pp. 0–0, 2020, Accessed: 00, 2025. [Online]. Available: https://hdl.handle.net/11511/115763.