Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum

1988 ◽  
Vol 74 (2) ◽  
pp. 157-161 ◽  
Author(s):  
L. S. Davtyan ◽  
G. S. Pogosyan ◽  
A. N. Sisakyan ◽  
V. M. Ter-Antonyan
Keyword(s):  
Hydrogen Atom ◽  
Continuous Spectrum ◽  
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 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

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.

A note on tuning in Roseau's alternative edge waves

1999 ◽  
Vol 382 ◽  
pp. 245-262 ◽  
Author(s):  
ULF TORSTEN EHRENMARK
Keyword(s):  
Continuous Spectrum ◽  
Two Dimensional ◽  
Edge Waves ◽  
Modal Number ◽  
Stagnation Points ◽  
Bounded State ◽  
Wave Guides ◽  
Recent Method ◽  
Wave Profiles ◽  
Standing Edge Waves

Ursell's edge waves are derived systematically using a new method. Computed profiles are then compared with the lesser known shoreline singular waves first constructed by Roseau (1958). A recent method of writing the continuous spectrum solutions on a plane beach is thereby extended to the discrete spectrum to enable the reconstruction of both types of edge waves so that, in particular, the unbounded wave profiles are more easily computed. The existence of stagnation points on the bed for standing edge waves is considered and demonstrated for the first few modes. A ramification of this is the existence of (two-dimensional-cross-shore) dividing ‘streamlines’ from the bed to the surface also, the number of which appears to equate to the modal number of the edge wave. These dividing streamlines, along with other streamlines, are computed for the first few modes of both the Ursell and the (alternative) singular waves constructed by Roseau.It follows that these waves can also exist in the presence of solid cylinders bounded by fixed streamlines and, in particular therefore, that the hitherto unbounded Roseau waves can exist in a bounded state since a region including the origin can be removed from the flow by exploiting a dividing streamline. It is confirmed that the wavenumbers of the Roseau waves interlace those of the Ursell waves. An examination of available evidence leaves open to further research the question of whether the alternative Roseau waves have been ‘inadvertently’ observed either in the laboratory or, by means of contamination of data, in the field. Further laboratory simulations using longshore solid cylinders as ‘wave guides’ are proposed.

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
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