Journal of Quantum Information Science

Volume 1, Issue 2 (September 2011)

ISSN Print: 2162-5751   ISSN Online: 2162-576X

Google-based Impact Factor: 0.84  Citations  

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

HTML  Download Download as PDF (Size: 321KB)  PP. 73-86  
DOI: 10.4236/jqis.2011.12011    5,429 Downloads   12,026 Views  Citations
Author(s)

Affiliation(s)

.

ABSTRACT

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials and or the generalized hypergeometric functions have been obtained. A short-cut of the Nikiforov-Uvarov (NU) method is used in the solution. A unified treatment of the Eckart, Rosen-Morse, Hulthén and Woods-Saxon potential models can be easily derived from our general solution. The present calculations are found to be identical with those ones appearing in the literature. Further, based on the PT-symmetry, the bound state solutions of the trigonometric Rosen-Morse potential can be easily obtained.

Share and Cite:

S. Ikhdair, "Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions," Journal of Quantum Information Science, Vol. 1 No. 2, 2011, pp. 73-86. doi: 10.4236/jqis.2011.12011.

Cited by

[1] Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic …
2021
[2] The minimal length case of the Klein Gordon equation with hyperbolic cotangent potential using Nikivorof-Uvarof Method
2020
[3] Evaluation of the bound state energies of some diatomic molecules from the approximate solutions of the Schrodinger equation with Eckart plus inversely quadratic …
2020
[4] Solution of the Ultra Generalized Exponential–Hyperbolic Potential in Multi-dimensional Space
2020
[5] A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthén Potential
arXiv preprint arXiv:1805.00586, 2018
[6] Bound State Solutions of the Schrödinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using …
2018
[7] Solusi alternatif persamaan klein-gordon dalam efek panjang minimal untuk potensial hulthen menggunakan asymptotic iteration method
2018
[8] Etude complète de certains potentiels diatomiques déformés par l'intégrale de chemin de Feynman.
2018
[9] A novel SUSY energy bound-states treatment of the Klein-Gordon equation with PT-symmetric and q-deformed parameter Hulthén potential
EPL (Europhysics Letters), 2018
[10] A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
2018
[11] BOUND STATE SOLUTIONS TO THE SCHRÖDINGER EQUATION WITH SHIFTED DENG-FAN POTENTIAL VIA WKB APPROXIMATION METHOD
2017
[12] Asymptotic iteration method for analytical solution of Klein-Gordon equation for trigonometric Pӧschl-Teller potential in D-dimensions
Journal of Physics: Conference Series, 2017
[13] Analytical solution of Klein Gordon equation Trigonometric Pӧschl-Teller potential using asymptotic iteration method
2017
[14] Analytic spin and pseudospin solutions to the Dirac equation for the Manning-Rosen plus shifted Deng-Fan potential and Yukawa-like tensor interaction
2017
[15] Path integral solution for a Klein–Gordon particle in vector and scalar deformed radial Rosen–Morse-type potentials
Indian Journal of Physics, 2017
[16] Solution of Klein Gordon equation for hyperbolic cotangent potential in the presence of a minimal length using Hypergeometric method
Journal of Physics: Conference Series, 2017
[17] L-state analytical solution of the Klein-Gordon equation with position dependent mass using modified Deng-Fan plus exponential molecular potentials via …
2017
[18] Analytical approximate bound state solution of Schrödinger equation in D-dimensions with a new mixed class of potential for arbitrary ℓ-state via asymptotic iteration …
Chinese Journal of Physics, 2016
[19] Analytical approximate bound state solution of Schrödinger equation in D-dimensions with a new mixed class of potential for arbitrary ℓ-state via asymptotic iteration …
Chinese Journal of Physics, 2016
[20] Solutions of the Klein-Gordon Equation with the Hulthen Potential Using the Frobenius Method
International Journal of Theoretical and Mathematical Physics, 2014
[21] Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction
arXiv preprint arXiv:1401.7142, 2014
[22] Exact Solutions of the Klein-Gordon Equation for q-Deformed Manning-Rosen Potential via Asymptotic Iteration Method
arXiv preprint arXiv:1409.1457, 2014
[23] Klein–Gordon Solutions for a Yukawa-like Potential
Zeitschrift für Naturforschung A, 2013
[24] Spinless Particles Subject to Unequal Scalar-Vector Nuclear Woods–Saxon Potentials in Arbitrary Dimensions
Zeitschrift für Naturforschung A, 2013
[25] Approximate-state solutions of the Dirac equation in spatially dependent mass for the Eckart potential including the Yukawa tensor interaction
Physica Scripta, 2013
[26] Relativistic symmetries in Yukawa-type interactions with Coulomb-like tensor
Applied Mathematics and Computation, 2013
[27] Spin and pseudospin symmetric Dirac particles in the field of Tietz—Hua potential including Coulomb tensor interaction
Chinese Physics B, 2013
[28] Spinless particles in the field of unequal scalar—vector Yukawa potentials
Chinese Physics B, 2013
[29] Approximate $\ kappa $-state solutions of the Dirac equation in spatially dependent mass for the Eckart potential including the Yukawa tensor interaction
Physica Scripta, 2013
[30] Spin and Pseudospin Symmetries with Trigonometric P?schl-Teller Potential including Tensor Coupling
Advances in High Energy Physics, 2013
[31] Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
Advances in High Energy Physics, 2013
[32] Relativistic solutions of the new Yukawa-type potential with spin and pseudospin symmetry and tensor interaction
2013
[33] Relativistic solutions of the new Yukawa-type potential with spin and pseudo-spin symmetry and tensor interaction
2013
[34] Approximate relativistic bound state solutions of the Tietz-Hua rotating oscillator for any-state
2012
[35] Approximate analytical solutions of the relativistic equations with the Deng–Fan molecular potential including a Pekeris-type approximation to the (pseudo or) …
2012
[36] Spin and pseudospin symmetries in relativistic trigonometric Poeschl–Teller potential with centrifugal barrier
International Journal of Modern Physics E, 2012
[37] Exact S-Wave Solution of the Klein-Gordon Equation with the Deng-Fan Molecular Potential using the Nikiforov-Uvarov (NU) Method
The African Review of Physics, 2012
[38] Approximate κ-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
Central European Journal of Physics, 2012
[39] Approximate bound states of the Dirac equation with some physical quantum potentials
Applied Mathematics and Computation, 2012
[40] Approximate analytical solutions of the relativistic equations with the Deng–Fan molecular potential including a Pekeris-type approximation to the (pseudo or) centrifugal term
Physica Scripta, 2012
[41] SPIN AND PSEUDOSPIN SYMMETRIES IN RELATIVISTIC TRIGONOMETRIC P?SCHL–TELLER POTENTIAL WITH CENTRIFUGAL BARRIER
International Journal of Modern Physics E, 2012
[42] Approximate relativistic bound state solutions of the Tietz–Hua rotating oscillator for any κ-state
Few-Body Systems, 2012
[43] A quantum pseudodot system with two-dimensional pseudoharmonic oscillator in external magnetic and Aharonov-Bohm fields
Physica B: Condensed Matter, 2012
[44] Application of the Sturm–Liouville theorem and shape invariance formalism to the Dirac equation with hyperbolic like potential
Applied Mathematics and Computation, 2012
[45] Approximate analytical solutions of the relativistic equations with the Deng–Fan molecular potential including a Pekeris-type approximation to the (pseudo or) …
Physica Scripta, 2012
[46] A quantum pseudodot system with two-dimensional pseudoharmonic potential under external magnetic and AB flux fields
arXiv preprint arXiv:1207.5679, 2012
[47] Spinless particles with unequal Scalar-Vector Yukawa interactions
arXiv preprint arXiv:1207.0681, 2012
[48] Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method
ISRN Mathematical Physics, 2012

Journals Menu
Follow SCIRP
Contact us
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2025 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.