Bound energy for the exponential-cosine-screened Coulomb potential

Download

index.pdf

Date

2007-05-01

Author

Ikhdair, Sameer M.
Sever, Ramazan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

214
views

60
downloads

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

Suggestions

OpenMETU
Core

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.
Bound state solution of the Schrodinger equation for Mie potential Sever, Ramazan; Bucurgat, Mahmut; TEZCAN, CEVDET; Yesiltas, Oezlem (Springer Science and Business Media LLC, 2008-02-01) Exact solution of Schrodinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The bound states are calculated numerically for some values of l and n with n <= 5. They are applied to several diatomic molecules.
Modified l-states of diatomic molecules subject to central potentials plus an angle-dependent potential Berkdemir, Cueneyt; Sever, Ramazan (Springer Science and Business Media LLC, 2009-11-01) We present modified a""-states of diatomic molecules by solving the radial and angle-dependent parts of the Schrodinger equation for central potentials, such as Morse and Kratzer, plus an exactly solvable angle-dependent potential V (theta) (theta)/r (2) within the framework of the Nikiforov-Uvarov (NU) method. We emphasize that the contribution which comes from the solution of the Schrodinger equation for the angle-dependent potential modifies the usual angular momentum quantum number a"". We calculate exp...
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.