Exact bound state solutions of the s-wave Klein–Gordon equation with the generalized Hulthén potential

2004 ◽  
Vol 331 (6) ◽  
pp. 374-377 ◽  
Author(s):  
Gang Chen ◽  
Zi-Dong Chen ◽  
Zhi-Mei Lou
Keyword(s):  
Gordon Equation ◽  
Bound State ◽  
S Wave ◽  
Hulthén Potential ◽  
Exact Bound ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
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.

Heavy quarkonium systems for the deformed unequal scalar and vector Coulomb–Hulthén potential within the deformed effective mass Klein–Gordon equation using the improved approximation of the centrifugal term and Bopp’s shift method in RNCQM symmetries

2021 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Effective Mass ◽  
Gordon Equation ◽  
Energy State ◽  
Real Space ◽  
Heavy Quarkonium ◽  
Hulthén Potential ◽  
Shift Method ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this study, the analytical solutions of the Klein–Gordon equation for any [Formula: see text] states of the modified effective mass potential under the modified unequal scalar and vector Coulomb–Hulthén potential (MUSVCH-P) are derived by using an approximation method to the centrifugal potential term in the symmetries of relativistic noncommutative three-dimensional real space (RNC: 3D-RS). The new analytical expressions for eigenvalues of the energy spectrum and the new mass of mesons, such as charmonium and bottomonium that have the quark and antiquark flavor, have been estimated by using Bopp’s shift method, and perturbation theory. The energy state equation depends on the global parameters characterizing the noncommutativity space and the potential parameter [Formula: see text] in addition to the Gamma function and the discreet atomic quantum numbers [Formula: see text]. The expression for the new energy spectra is applied to obtain the new mass spectra of heavy quarkonium systems (charmonium and bottomonium) in the symmetries of (RNC: 3D-RS). The comparisons show that our theoretical results are in very good agreement with the reported works.

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