Solution of the Klein-Gordon Equation with Position-Dependent Mass for Exponential Scalar and Vector Potentials by an Alternative Approach

Aygün, Murat; Boztosun, İsmail; Şahın, Yusuf
April 2012
Gazi University Journal of Science;2012, Vol. 25 Issue 2, p317
Academic Journal
The s-wave Klein-Gordon equation, with position-dependent mass, is solved for the exponential vector and scalar potentials by an alternative approach. The asymptotic iteration method is used to obtain the energy eigenvalues. The results are the exact analytical and are in good agreement with the results previously.


Related Articles

  • Bound-State Solution of s-Wave Klein-Gordon Equation for Woods-Saxon Potential. Olğar, Eser; Mutaf, Haydar // Advances in Mathematical Physics;7/12/2015, Vol. 2015, p1 

    The bound-state solution of s-wave Klein-Gordon equation is calculated for Woods-Saxon potential by using the asymptotic iteration method (AIM). The energy eigenvalues and eigenfunctions are obtained for the required condition of bound-state solutions.

  • The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method. Falaye, Babatunde James // Journal of Mathematical Physics;Aug2012, Vol. 53 Issue 8, p082107 

    This study presents the solutions of three dimensional Klein-Gordon equation for the spherically and non-spherically harmonic oscillatory ring-shaped potentials within the framework of asymptotic iteration method. Using the method of variable separation, this study obtains the radial and angular...

  • Exact Solutions of the Klein-Gordon Equation for Spherically Asymmetrical Singular Oscillator. Falaye, Babatunde // Few-Body Systems;Oct2012, Vol. 53 Issue 3/4, p563 

    The relativistic Klein-Gordon equation with equal scalar and vector spherically asymmetrical singular oscillators is solved using the asymptotic iteration method. The energy eigenvalues equation and the corresponding wave functions are obtain explicitly. It was found that the asymptotic...

  • DKP Equation Under New Exponential and Coulomb Vector Potentials. Hassanabadi, H.; Yazarloo, B.; Zarrinkamar, S. // Arabian Journal for Science & Engineering (Springer Science & Bu;Jan2014, Vol. 39 Issue 1, p495 

    Duffin-Kemmer-Petiau equation for two types of energy-dependent potentials is investigated in an approximate analytical manner. The energy eigenvalues and the corresponding eigenfunctions for any J state are derived, and the spectrum of the system is numerically reported.

  • A minimal subspace residual method for large-scale eigenvalue problems. Youhong Huang; Hoffman, David K.; Kouri, Donald J. // Journal of Chemical Physics;5/1/1999, Vol. 110 Issue 17, p8303 

    Presents an iterative method for treating extremely large-scale eigenvalue problems. Generation of a subspace which has the property that the residual of interior eigenpairs in the subspace is minimized; Basis of the method on a formal relation between approximate eigenstates and exact eigenstates.

  • Comparison of Methods for Estimating Nearshore Shear Wave Variance. Noyes, T. James; Guza, R. T.; Elgar, Steve; Herbers, T. H. C. // Journal of Atmospheric & Oceanic Technology;Jan2002, Vol. 19 Issue 1, p136 

    Compares the existing methods for estimating the magnitude of shear wave velocity fluctuations in the presence of gravity waves. Application of iterative maximum likelihood estimator (IMLE); Information on IMLE and direct estimator estimates of shear wave variance for 3-h data segment;...

  • Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach. Huang, Dong-mei; Zou, Guo-liang; Zhang, L. W. // Mathematical Problems in Engineering;10/11/2015, Vol. 2015, p1 

    Numerical approximation of nonlinear Klein-Gordon (KG) equation with quadratic and cubic nonlinearity is performed using the element-free improved moving least squares Ritz (IMLS-Ritz) method. A regular arrangement of nodes is employed in this study for the numerical integration to compute the...

  • BOUNDARY LAYER FLOW OVER AN EXPONENTIAL STRETCHING SHEETS IN THE PRESENCE OF A SPECIAL FORM OF MAGNETIC FIELD. Phukan, D. K. // Bulletin of Pure & Applied Sciences-Mathematics;2010, Vol. 29E Issue 2, p377 

    The boundary layer flow due to a plate stretching with an exponential stretching velocity distribution in the presence of magnetic field has been studied. Upon introducing a special form of magnetic field, the governing steady boundary layer equations for an electrically conducting Newtonian...

  • A New Family of Interpolatory Non-Stationary Subdivision Schemes for Curve Design in Geometric Modeling. Conti, Costanza; Romani, Lucia // AIP Conference Proceedings;9/30/2010, Vol. 1281 Issue 1, p523 

    Univariate subdivision schemes are efficient iterative methods to generate smooth limit curves starting from a sequence of arbitrary points. Aim of this paper is to present and investigate a new family of 6-point interpolatory non-stationary subdivision schemes capable of reproducing important...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics