Bound state solutions of the s-wave Klein-Gordon equation with position dependent mass for exponential potential

2011 ◽  
Vol 2 (4) ◽  
pp. 360-367
Author(s):  
Tong-Qing Dai sci
Keyword(s):  
Gordon Equation ◽  
Bound State ◽  
Exponential Potential ◽  
S Wave ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Position Dependent Mass ◽  
Klein Gordon Equation

SPINLESS PARTICLE IN THE GENERALIZED HULTHÉN POTENTIAL

2004 ◽  
Vol 19 (26) ◽  
pp. 2009-2012 ◽  
Author(s):  
GANG CHEN
Keyword(s):  
State Energy ◽  
Gordon Equation ◽  
Bound State ◽  
Spinless Particle ◽  
Exponential Potential ◽  
S Wave ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this letter, the analytic relativistic bound state energy spectrum and wave functions of the s-wave Klein–Gordon equation for the generalized Hulthén potential are obtained through functional analytical method. The results also contain the analytic relativistic solutions of the s-wave Klein–Gordon equation for the Wood–Saxon and standard Hulthén potentials, however, the required results of the exponential potential are not derived from this paper.

EXACT SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE ROSEN–MORSE TYPE POTENTIALS VIA NIKIFOROV–UVAROV METHOD

2008 ◽  
Vol 23 (35) ◽  
pp. 3005-3013 ◽  
Author(s):  
A. REZAEI AKBARIEH ◽  
H. MOTAVALI
Keyword(s):  
Exact Solutions ◽  
Gordon Equation ◽  
Bound State ◽  
S Wave ◽  
Vector Potentials ◽  
Klein Gordon ◽  
The One ◽  
Uvarov Method ◽  
Equal Scalar ◽  
Klein Gordon Equation

The exact solutions of the one-dimensional Klein–Gordon equation for the Rosen–Morse type potential with equal scalar and vector potentials are presented. First, we briefly review Nikiforov–Uvarov mathematical method. Using this method, wave functions and corresponding exact energy equation are obtained for the s-wave bound state. It has been shown that the results for Rosen–Morse type potentials reduce to the standard Rosen–Morse well and Eckart potentials in the special case. The PT-symmetry for these potentials is also considered.

scholarly journals ROTATIONAL AND VIBRATIONAL DIATOMIC MOLECULE IN THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCALAR AND VECTOR POTENTIALS

2009 ◽  
Vol 20 (10) ◽  
pp. 1563-1582 ◽  
Author(s):  
SAMEER M. IKHDAIR
Keyword(s):  
Gordon Equation ◽  
Vibrational Energy ◽  
Energy Levels ◽  
Bound State ◽  
Approximate Analytic Solution ◽  
S Wave ◽  
Vector Potentials ◽  
Special Cases ◽  
Klein Gordon ◽  
Klein Gordon Equation

We present an approximate analytic solution of the Klein–Gordon equation in the presence of equal scalar and vector generalized deformed hyperbolic potential functions by means of parametric generalization of the Nikiforov–Uvarov method. We obtain the approximate bound-state rotational–vibrational (ro–vibrational) energy levels and the corresponding normalized wave functions expressed in terms of the Jacobi polynomial [Formula: see text], where μ > -1, ν > -1, and x ∈ [-1, +1] for a spin-zero particle in a closed form. Special cases are studied including the nonrelativistic solutions obtained by appropriate choice of parameters and also the s-wave solutions.

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