scholarly journals Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential

2006 ◽  
Vol 39 (43) ◽  
pp. 13455-13463 ◽  
Author(s):  
Cüneyt Berkdemir ◽  
Ayşe Berkdemir ◽  
Ramazan Sever
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Saxon Potential

De la combinatoire du modèle de l'échiquier de Feynman et des fonctions spéciales

1984 ◽  
Vol 62 (7) ◽  
pp. 632-638
Author(s):  
J. G. Williams
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Hypergeometric Series ◽  
Jacobi Polynomials ◽  
Dimensional Space ◽  
Space Time ◽  
Continuous Limit ◽  
Two Dimensional ◽  
Dimensional Space Time

The exact solution of the Feynman checkerboard model is given both in terms of the hypergeometric series and in terms of Jacobi polynomials. It is shown how this leads, in the continuous limit, to the Dirac equation in two-dimensional space-time.

scholarly journals A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
ZiLong Zhao ◽  
ZhengWen Long ◽  
MengYao Zhang
Keyword(s):  
Exact Solution ◽  
Quantum Mechanics ◽  
Dirac Equation ◽  
Exact Solutions ◽  
Bethe Ansatz ◽  
Dirac Oscillator ◽  
Solvable Models ◽  
Ansatz Method ◽  
Radial Dirac Equation

The generalized Dirac oscillator as one of the exact solvable models in quantum mechanics was introduced in 2+1-dimensional world in this paper. What is more, the general expressions of the exact solutions for these models with the inverse cubic, quartic, quintic, and sixth power potentials in radial Dirac equation were further given by means of the Bethe ansatz method. And finally, the corresponding exact solutions in this paper were further discussed.

Exact solution Dirac equation for an energy-dependent potential

2012 ◽  
Vol 127 (10) ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
R. Oudi ◽  
S. Zarrinkamar ◽  
H. Rahimov
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Dependent Potential ◽  
Energy Dependent
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