supersymmetry quantum mechanics
Recently Published Documents


TOTAL DOCUMENTS

14
(FIVE YEARS 1)

H-INDEX

5
(FIVE YEARS 0)

Author(s):  
Enayatolah Yazdankish

The generalized Woods–Saxon potential plus repulsive Coulomb interaction is considered in this work. The supersymmetry quantum mechanics method is used to get the energy spectrum of Schrodinger equation and also the Nikiforov–Uvarov approach is employed to solve analytically the Schrodinger equation in the framework of quantum mechanics. The potentials with centrifugal term include both exponential and radial terms, hence, the Pekeris approximation is considered to approximate the radial terms. By using the step-by-step Nikiforov–Uvarov method, the energy eigenvalue and wave function are obtained analytically. After that, the spectrum of energy is obtained by the supersymmetry quantum mechanics method. The energy eigenvalues obtained from each method are the same. Then in special cases, the results are compared with former result and a full agreement is observed. In the [Formula: see text]-state, the standard Woods–Saxon potential has no bound state, but with Coulomb repulsive interaction, it may have bound state for zero angular momentum.


Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 193
Author(s):  
Fethi Bouzeffour ◽  
Wissem Jedidi

We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator. We construct several classes of functions satisfying certain orthogonality relations. These functions can be expressed in terms of the associated Laguerre orthogonal polynomials and have shown that their zeros are the eigenvalues of the Hermitian supercharge. We call them the supersymmetric generalized Hermite polynomials.


2014 ◽  
Vol 69 (12) ◽  
pp. 659-664
Author(s):  
Akpan Ndem Ikot ◽  
Hassan Hassanabadi ◽  
Hillary Patrick Obong ◽  
Yehuwdah Chad-Umoren

AbstractThe bound-state solutions of the Dirac equation for the screened Coulomb potential plus a ringshaped- like potential are determined using supersymmetry quantum mechanics and invariance method for arbitrary angular momentum state J. In the calculations, a proper approximate scheme for the centrifugal term is proposed and the un-normalized eigenfunctions are obtained in terms of the hypergeometric functions.


2013 ◽  
Vol 22 (6) ◽  
pp. 060303 ◽  
Author(s):  
S. Hassanabadi ◽  
M. Ghominejad ◽  
S. Zarrinkamar ◽  
H. Hassanabadi

Sign in / Sign up

Export Citation Format

Share Document