Two-dimensional Thomas-Fermi parabolic quantum dot in a weak magnetic field

2000 ◽  
Vol 13 (4) ◽  
pp. 723-730 ◽  
Author(s):  
R. Pino
Keyword(s):  
Magnetic Field ◽  
Quantum Dot ◽  
Weak Magnetic Field ◽  
Two Dimensional ◽  
Thomas Fermi ◽  
Parabolic Quantum Dot

scholarly journals THE ENERGY EIGENVALUES OF THE TWO DIMENSIONAL HYDROGEN ATOM IN A MAGNETIC FIELD

2006 ◽  
Vol 15 (06) ◽  
pp. 1263-1271 ◽  
Author(s):  
A. SOYLU ◽  
O. BAYRAK ◽  
I. BOZTOSUN
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Iteration Method ◽  
Weak Magnetic Field ◽  
The Other ◽  
Asymptotic Iteration Method ◽  
Iterative Approach ◽  
Two Dimensional ◽  
Energy Eigenvalues ◽  
The Magnetic Field

In this paper, the energy eigenvalues of the two dimensional hydrogen atom are presented for the arbitrary Larmor frequencies by using the asymptotic iteration method. We first show the energy eigenvalues for the case with no magnetic field analytically, and then we obtain the energy eigenvalues for the strong and weak magnetic field cases within an iterative approach for n=2-10 and m=0-1 states for several different arbitrary Larmor frequencies. The effect of the magnetic field on the energy eigenvalues is determined precisely. The results are in excellent agreement with the findings of the other methods and our method works for the cases where the others fail.

Transport in quasi-two-dimensional systems under a weak magnetic field

1995 ◽  
Vol 52 (3) ◽  
pp. 1984-1995 ◽  
Author(s):  
A. Cassam-Chenai ◽  
D. Mailly
Keyword(s):  
Magnetic Field ◽  
Weak Magnetic Field ◽  
Two Dimensional

scholarly journals Two-dimensional electron liquid in a weak magnetic field

1995 ◽  
Vol 52 (15) ◽  
pp. 11296-11312 ◽  
Author(s):  
I. L. Aleiner ◽  
L. I. Glazman
Keyword(s):  
Magnetic Field ◽  
Weak Magnetic Field ◽  
Two Dimensional ◽  
Dimensional Electron
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