Nonlinear wave-packet dynamics for a generic one-dimensional time-independent system and its application to the hydrogen atom in a weak magnetic field

1996 ◽  
Vol 53 (3) ◽  
pp. 1257-1272 ◽  
Author(s):  
Karine Dupret ◽  
Dominique Delande
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Wave Packet ◽  
Nonlinear Wave ◽  
Weak Magnetic Field ◽  
Independent System ◽  
One Dimensional ◽  
Wave Packet Dynamics

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.

Nonlinear wave-packet dynamics resonantly driven by AC and DC fields

2018 ◽  
Vol 64 ◽  
pp. 89-97 ◽  
Author(s):  
A.L.S. Pereira ◽  
M.L. Lyra ◽  
F.A.B.F. de Moura ◽  
A. Ranciaro Neto ◽  
W.S. Dias
Keyword(s):  
Wave Packet ◽  
Nonlinear Wave ◽  
Wave Packet Dynamics
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