Effective Mass Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential

Download

index.pdf

Date

2015-10-01

Author

Arda, Altug
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

217
views

0
downloads

The Schrodinger-like equation written in terms of the displacement operator is solved analytically for a inverse square plus Coulomb-like potential. Starting from the new Hamiltonian, the effects of the spatially dependent mass on the bound states and normalized wave functions of the "usual" inverse square plus Coulomb interaction are discussed.

Subject Keywords

Representation, Dependent effective masses

URI

https://hdl.handle.net/11511/62711

Journal

FEW-BODY SYSTEMS

DOI

https://doi.org/10.1007/s00601-015-1008-6

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Effective-mass Dirac equation for Woods-Saxon potential: Scattering, bound states, and resonances AYDOĞDU, OKTAY; Arda, Altug; Sever, Ramazan (2012-04-01) Approximate scattering and bound state solutions of the one-dimensional effective-mass Dirac equation with the Woods-Saxon potential are obtained in terms of the hypergeometric-type functions. Transmission and reflection coefficients are calculated by using behavior of the wave functions at infinity. The same analysis is done for the constant mass case. It is also pointed out that our results are in agreement with those obtained in literature. Meanwhile, an analytic expression is obtained for the transmissi...
Exact solution of effective mass Schrodinger equation for the Hulthen potential Sever, Ramazan; TEZCAN, CEVDET; Yesiltas, Oezlem; Bucurgat, Mahmut (2008-09-01) A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
Scalar waves in spacetimes with closed timelike curves Buğdaycı, Necmi; Başkal, Sibel; Department of Physics (2005) The existence and -if exists- the nature of the solutions of the scalar wave equation in spacetimes with closed timelike curves are investigated. The general properties of the solutions on some class of spacetimes are obtained. Global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensions 2+1 and 3+1. The solutions are in the form of infinite series involving cylindirical and spherical wave functions and they are elucidated by the multiple scattering method. Explici...
Effective mass Schrodinger equation for exactly solvable class of one-dimensional potentials Aktas, Metin; Sever, Ramazan (2008-01-01) We deal with the exact solutions of Schrodinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Poschl-Teller, and Hulthen type potentials are considered, respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.
EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN-GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-09-01) We present the exact solution of the Klein Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular ...

Citation Formats

A. Arda and R. Sever, “Effective Mass Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential,” FEW-BODY SYSTEMS, pp. 697–702, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62711.