Meson spectra with a harmonic-oscillator potential in the Klein-Gordon equation

1979 ◽  
Vol 19 (11) ◽  
pp. 3467-3469 ◽  
Author(s):  
B. Ram ◽  
R. Halasa
Keyword(s):  
Harmonic Oscillator ◽  
Gordon Equation ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Exact Solutions of the Mass-Dependent Klein-Gordon Equation with the Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Bahar ◽  
F. Yasuk
Keyword(s):  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Oscillator Potential ◽  
Ansatz Method ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Mass Dependent ◽  
Klein Gordon Equation

Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass.

scholarly journals Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential

2021 ◽  
Vol 3 (3) ◽  
pp. 42-47
Author(s):  
E. P. Inyang ◽  
B. I. Ita ◽  
E. P. Inyang
Keyword(s):  
Harmonic Oscillator ◽  
Laguerre Polynomials ◽  
Bound State ◽  
Quantum Mechanical ◽  
S Wave ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Uvarov Method ◽  
Equal Scalar

The solutions of the Klein- Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential have been presented using the parametric Nikiforov-Uvarov method. The energy eigenvalues were obtained in relativistic and non-relativistic regime and the corresponding un-normalized eigenfunctions in terms of Laguerre polynomials. The numerical values for the S – wave bound state were obtained.

scholarly journals Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
V. Mohammadi ◽  
S. Aghaei ◽  
A. Chenaghlou
Keyword(s):  
Harmonic Oscillator ◽  
Coulomb Potential ◽  
Gordon Equation ◽  
Spin Symmetry ◽  
Quadratic Algebra ◽  
Relativistic Energy ◽  
Algebra Approach ◽  
Superintegrable Systems ◽  
Klein Gordon ◽  
Klein Gordon Equation

We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, theSO(3)group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and theSU(2)group generators of associated system are studied. Also, we construct the quadratic algebra of the hyperboloid superintegrable system. Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach.

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