Bound energy for the exponential-cosine-screened Coulomb potential

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2007-05-01

Author

Ikhdair, Sameer M.
Sever, Ramazan

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An alternative approximation scheme has been used in solving the Schrodinger equation for the exponential-cosine-screened Coulomb potential. The bound state energies for various eigenstates and the corresponding wave functions are obtained analytically up to the second perturbation term.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/62531

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-006-9080-2

Collections

Department of Physics, Article

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Bound states of a more general exponential screened Coulomb potential Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-05-01) An alternative approximation scheme has been used in solving the Schrodinger equation to the more general case of exponential screened Coulomb potential, V(r) = -(a/r)[1 + (1 + br)e(-2br)]. The bound state energies of the 1s, 2s and 3s-states, together with the ground state wave function are obtained analytically upto the second perturbation term.
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Supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian screened Coulomb potential via Hamiltonian hierarchy inspired variational method Faridfathi, Gholamreza; Sever, Ramazan (Springer Science and Business Media LLC, 2007-10-01) The supersymmetric solutions of PT -symmetric and Hermitian/non-Hermitian forms of quantum systems are obtained by solving the Schrodinger equation for the Exponential-Cosine Screened Coulomb potential. The Hamiltonian hierarchy inspired variational method is used to obtain the approximate energy eigenvalues and corresponding wave functions.
Supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method Faridfathi, G; Sever, Ramazan; Aktas, M (Springer Science and Business Media LLC, 2005-11-01) The supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian deformed Morse and Poschl-Teller potentials are obtained by solving the Schrodinger equation. The Hamiltonian hierarchy method is used to get the real energy eigenvalues and corresponding eigenfunctions.

Citation Formats

S. M. Ikhdair and R. Sever, “Bound energy for the exponential-cosine-screened Coulomb potential,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 329–341, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62531.