scholarly journals Eigenspectra and statistical properties of the Klein–Gordon equation with Cornell potential: Unequal mixings of scalar and time-like vector potentials

2019 ◽  
Vol 535 ◽  
pp. 122497
Author(s):  
F. Tajik ◽  
Z. Sharifi ◽  
M. Eshghi ◽  
M. Hamzavi ◽  
M. Bigdeli ◽  
...  
Keyword(s):  
Gordon Equation ◽  
Statistical Properties ◽  
Cornell Potential ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Klein Gordon Equation

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 The Klein-Gordon equation with the Kratzer potential in d dimensions

Open Physics ◽  
2008 ◽  
Vol 6 (3) ◽  
Author(s):  
Nasser Saad ◽  
Richard Hall ◽  
Hakan Ciftci
Keyword(s):  
Exact Solutions ◽  
Gordon Equation ◽  
Monic Polynomial ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Elementary Symmetric Polynomials ◽  
Potential Parameters ◽  
Klein Gordon Equation

AbstractWe apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.

Klein–Gordon oscillator in the presence of a Cornell potential in the cosmic string space-time

2019 ◽  
Vol 16 (04) ◽  
pp. 1950054 ◽  
Author(s):  
M. Hosseini ◽  
H. Hassanabadi ◽  
S. Hassanabadi ◽  
P. Sedaghatnia
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Gordon Equation ◽  
Space Time ◽  
Cornell Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we find solutions for the Klein–Gordon equation in the presence of a Cornell potential under the influence of noninertial effects in the cosmic string space-time. Then, we study Klein–Gordon oscillator in the cosmic string space-time. In addition, we show that the presence of a Cornell potential causes the forming bound states for the Klein–Gordon equation in this kind of background.

Superstatistics of the Klein–Gordon equation in deformed formalism for modified Dirac delta distribution

2018 ◽  
Vol 33 (10n11) ◽  
pp. 1850060 ◽  
Author(s):  
S. Sargolzaeipor ◽  
H. Hassanabadi ◽  
W. S. Chung
Keyword(s):  
Deformation Parameter ◽  
Gordon Equation ◽  
Wave Functions ◽  
Boltzmann Factor ◽  
Dirac Delta ◽  
Cornell Potential ◽  
Delta Distribution ◽  
Klein Gordon ◽  
Aharonov Bohm ◽  
Klein Gordon Equation

The Klein–Gordon equation is extended in the presence of an Aharonov–Bohm magnetic field for the Cornell potential and the corresponding wave functions as well as the spectra are obtained. After introducing the superstatistics in the statistical mechanics, we first derived the effective Boltzmann factor in the deformed formalism with modified Dirac delta distribution. We then use the concepts of the superstatistics to calculate the thermodynamics properties of the system. The well-known results are recovered by the vanishing of deformation parameter and some graphs are plotted for the clarity of our results.

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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