scholarly journals Excited states of two-dimensional hydrogen atom in tilted magnetic field: Quantum chaos

2017 ◽  
Vol 93 ◽  
pp. 160-166 ◽  
Author(s):  
Eugene A. Koval ◽  
Oksana A. Koval
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Excited States ◽  
Quantum Chaos ◽  
Two Dimensional ◽  
Tilted Magnetic Field

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.

scholarly journals Highly excited states of a hydrogen atom in a strong magnetic field

1983 ◽  
Vol 28 (1) ◽  
pp. 7-21 ◽  
Author(s):  
J. B. Delos ◽  
S. K. Knudson ◽  
D. W. Noid
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Strong Magnetic Field ◽  
Excited States

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

Enhanced Stability of the Magnetic Skyrmion Lattice Phase under a Tilted Magnetic Field in a Two-Dimensional Chiral Magnet

Nano Letters ◽  
2017 ◽  
Vol 17 (5) ◽  
pp. 2921-2927 ◽  
Author(s):  
Chao Wang ◽  
Haifeng Du ◽  
Xuebing Zhao ◽  
Chiming Jin ◽  
Mingliang Tian ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Two Dimensional ◽  
Enhanced Stability ◽  
Tilted Magnetic Field

Hydrogen atoms in the presence of a homogeneous magnetic field: a variational approach

1978 ◽  
Vol 56 (12) ◽  
pp. 1545-1548 ◽  
Author(s):  
H. S. Brandi ◽  
Belita Koiller
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Excited States ◽  
Three Dimensional ◽  
Homogeneous Magnetic Field ◽  
Basis Functions ◽  
Variational Parameter ◽  
Hydrogen Atoms ◽  
Wide Range ◽  
Free Hydrogen

We propose a variational scheme to obtain the spectrum of the hydrogen atom in the presence of an external homogeneous magnetic field. We use two different sets of basis functions to diagonalize the Hamiltonian describing the system, namely, the eigenfunctions of the free hydrogen atom and of the three-dimensional harmonic oscillator, both having their radial coordinates properly scaled by a variational parameter. Because of its characteristics, the present approach is suited to describe the ground state as well as an infinite number of excited states for a wide range of magnetic field strengths.

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