Energy spectrum for two-dimensional periodic potentials in a magnetic field

1993 ◽  
Vol 47 (19) ◽  
pp. 13019-13022 ◽  
Author(s):  
O. Kühn ◽  
V. Fessatidis ◽  
H. L. Cui ◽  
P. E. Selbmann ◽  
N. J. M. Horing
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Two Dimensional ◽  
Periodic Potentials

scholarly journals ENERGY SPECTRUM OF THE GROUND STATE OF A TWO-DIMENSIONAL RELATIVISTIC HYDROGEN ATOM IN THE PRESENCE OF A CONSTANT MAGNETIC FIELD

2003 ◽  
Vol 17 (25) ◽  
pp. 1331-1341 ◽  
Author(s):  
VÍCTOR M. VILLALBA ◽  
RAMIRO PINO
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Ground State ◽  
Constant Magnetic Field ◽  
Two Dimensional ◽  
Relativistic Limit ◽  
Dirac Electron ◽  
Relativistic Hydrogen ◽  
Relativistic Hydrogen Atom ◽  
The Magnetic Field

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.

The (2+1)-dimensional f-deformed Dirac oscillator in the presence of an external field

2017 ◽  
Vol 32 (26) ◽  
pp. 1750158 ◽  
Author(s):  
M. R. Setare ◽  
P. Majari
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
External Field ◽  
Strong Magnetic Field ◽  
Static Magnetic Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
The Magnetic Field

We consider a two-dimensional f-deformed Dirac oscillator in the presence of an external uniform static magnetic field. We show that the two-dimensional f-deformed Dirac oscillator maps exactly onto the anti-Jaynes–Cummings (AJC) and Jaynes–Cummings (JC) models. We also obtain the energy spectrum and corresponding eigenstates in the weak and strong magnetic field regimes. We show how the change in chirality is associated with the magnitude of the magnetic field. We investigate the two-dimensional f-deformed Dirac oscillator in an external (isospin) field and find its energy spectrum.

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