Exact Solutions of the Morse-like Potential, Step-Up and Step-Down Operators via Laplace Transform Approach

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2012-07-01

Author

Arda, Altug
Sever, Ramazan

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We intend to realize the step-up and step-down operators of the potential V(x) = V(1)e(2 beta x) + V-2(e beta x). It is found that these operators satisfy the commutation relations for the SU(2) group. We find the eigenfunctions and the eigenvalues of the potential by using the Laplace transform approach to study the Lie algebra satisfied the ladder operators of the potential under consideration. Our results are similar to the ones obtained for the Morse potential (beta ->-beta).

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/62577

Journal

COMMUNICATIONS IN THEORETICAL PHYSICS

DOI

https://doi.org/10.1088/0253-6102/58/1/05

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Department of Physics, Article

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Citation Formats

A. Arda and R. Sever, “Exact Solutions of the Morse-like Potential, Step-Up and Step-Down Operators via Laplace Transform Approach,” COMMUNICATIONS IN THEORETICAL PHYSICS, pp. 27–30, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62577.