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

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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