Two-dimensional hydrogen atom. I. Elliptic basis

1984 ◽  
Vol 61 (1) ◽  
pp. 1021-1034 ◽  
Author(s):  
L. G. Mardoyan ◽  
G. S. Pogosyan ◽  
A. N. Sisakyan ◽  
V. M. Ter-Antonyan
Keyword(s):  
Hydrogen Atom ◽  
Two Dimensional ◽  
Elliptic Basis

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.

Two-dimensional hydrogen atom in a strong magnetic field

2003 ◽  
Vol 36 (29) ◽  
pp. 7923-7951 ◽  
Author(s):  
Marko Robnik ◽  
Valery G Romanovski
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Strong Magnetic Field ◽  
Two Dimensional

Two-dimensional hydrogen atom. Reciprocal expansions of the polar and parabolic bases of the continuous spectrum

1986 ◽  
Vol 66 (2) ◽  
pp. 146-153 ◽  
Author(s):  
L. S. Davtyan ◽  
G. S. Pogosyan ◽  
A. N. Sisakyan ◽  
V. M. Ter-Antonyan
Keyword(s):  
Hydrogen Atom ◽  
Continuous Spectrum ◽  
Two Dimensional

scholarly journals Hydrogen atom induced magnetic behaviors in two-dimensional materials: insight on origination in the model of α-MoO3

Nanoscale ◽  
2018 ◽  
Vol 10 (29) ◽  
pp. 14100-14106 ◽  
Author(s):  
Junli Zhang ◽  
Jiecai Fu ◽  
Fangyi Shi ◽  
Yong Peng ◽  
Mingsu Si ◽  
...  
Keyword(s):  
Hydrogen Atom ◽  
Two Dimensional ◽  
Two Dimensional Materials

Magnetic behaviors are successfully modulated in prototypical layered α-MoO3 nanostructures by doping H atoms and forming HxMoO3.

Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory

1991 ◽  
Vol 43 (3) ◽  
pp. 1186-1196 ◽  
Author(s):  
X. L. Yang ◽  
S. H. Guo ◽  
F. T. Chan ◽  
K. W. Wong ◽  
W. Y. Ching
Keyword(s):  
Hydrogen Atom ◽  
Analytic Solution ◽  
Two Dimensional ◽  
Nonrelativistic Theory

scholarly journals The two-dimensional hydrogen atom revisited

2002 ◽  
Vol 43 (10) ◽  
pp. 4681 ◽  
Author(s):  
D. G. W. Parfitt ◽  
M. E. Portnoi
Keyword(s):  
Hydrogen Atom ◽  
Two Dimensional
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