Energy levels of a two-dimensional hydrogenic donor in the presence of a constant magnetic field

1996 ◽  
Vol 8 (42) ◽  
pp. 8067-8072 ◽  
Author(s):  
Víctor M Villalba ◽  
Ramiro Pino
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Energy Levels ◽  
Two Dimensional ◽  
Hydrogenic Donor

scholarly journals NONCOMMUTATIVE GRAPHENE

2013 ◽  
Vol 28 (16) ◽  
pp. 1350064 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dirac Equation ◽  
Energy Levels ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Dirac System ◽  
Noncommutative Parameter

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.

Spin-Orbit Interactions in Semiconductor Quantum Ring in the Presence of Magnetic Field

2019 ◽  
Vol 18 (03n04) ◽  
pp. 1940016
Author(s):  
A. V. Baran ◽  
V. V. Kudryashov
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Constant Magnetic Field ◽  
Energy Levels ◽  
Finite Depth ◽  
Quantum Ring ◽  
Spin Orbit ◽  
Potential Well ◽  
Realistic Potential ◽  
Spin Orbit Interactions

Energy levels of electrons in the semiconductor circular quantum ring are obtained within the framework of perturbation theory in the presence of the Rashba and Dresselhaus spin-orbit interactions and external uniform constant magnetic field. The confinement effect is simulated by the realistic potential well of a finite depth.

Highly accurate analytical energy of a two-dimensional exciton in a constant magnetic field

2016 ◽  
Vol 495 ◽  
pp. 16-20 ◽  
Author(s):  
Ngoc-Tram D. Hoang ◽  
Duy-Anh P. Nguyen ◽  
Van-Hung Hoang ◽  
Van-Hoang Le
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Two Dimensional

TWO ANYONS IN A CONSTANT MAGNETIC FIELD: A NONPERTURBATIVE APPROACH

1994 ◽  
Vol 08 (03) ◽  
pp. 159-168 ◽  
Author(s):  
B. ROY ◽  
P. ROY ◽  
Y.P. VARSHNI
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Energy Levels ◽  
Coulomb Repulsion ◽  
Exact Results

Using two nonperturbative methods, namely, the shifted 1/N expansion and the SWKB techniques, we determine the energy levels of a system of two anyons in an external constant magnetic field and interacting via a Coulomb repulsion. Some exact results have also been found using the notion of supersymmetry.

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