Two-dimensional hydrogen atom in a strong magnetic field

2003 ◽  
Vol 36 (29) ◽  
pp. 7923-7951 ◽  
Author(s):  
Marko Robnik ◽  
Valery G Romanovski
2006 ◽  
Vol 15 (06) ◽  
pp. 1263-1271 ◽  
Author(s):  
A. SOYLU ◽  
O. BAYRAK ◽  
I. BOZTOSUN

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.


2010 ◽  
Vol 40 (5) ◽  
pp. 529-532 ◽  
Author(s):  
Naomi Hirayama ◽  
Akira Endo ◽  
Kazuhiro Fujita ◽  
Yasuhiro Hasegawa ◽  
Naomichi Hatano ◽  
...  

1983 ◽  
Vol 28 (1) ◽  
pp. 7-21 ◽  
Author(s):  
J. B. Delos ◽  
S. K. Knudson ◽  
D. W. Noid

1993 ◽  
Vol 62 (8) ◽  
pp. 2762-2772 ◽  
Author(s):  
Yoshiyuki Ono ◽  
Hiroyuki Kuwano ◽  
Keith Slevin ◽  
Tomi Ohtsuki ◽  
and Bernhard Kramer

Physica B+C ◽  
1982 ◽  
Vol 112 (3) ◽  
pp. 416-418
Author(s):  
A Isihara ◽  
S.J Lee ◽  
M Mukai ◽  
L Ioriatti

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