Supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method

Download

index.pdf

Date

2005-11-01

Author

Faridfathi, G
Sever, Ramazan
Aktas, M

Metadata

Show full item record

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

Item Usage Stats

197
views

56
downloads

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.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/62852

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-005-6900-8

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

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.
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.
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...
Exact solutions of the Schrodinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2012-04-01) Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrodinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wave-functions ...
Bound energy for the exponential-cosine-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 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.

Citation Formats

G. Faridfathi, R. Sever, and M. Aktas, “Supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 533–540, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62852.