scholarly journals Modification of the coulomb law and energy levels of hydrogen atom in superstrong magnetic field

2012 ◽  
Vol 9 (9-10) ◽  
pp. 686-690
Author(s):  
M. I. Vysotsky
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Energy Levels ◽  
Superstrong Magnetic Field ◽  
Coulomb Law

scholarly journals NEW TREATMENT OF THE NONCOMMUTATIVE DIRAC EQUATION WITH A COULOMB POTENTIAL

2012 ◽  
Vol 27 (19) ◽  
pp. 1250100 ◽  
Author(s):  
LAMINE KHODJA ◽  
SLIMANE ZAIM
Keyword(s):  
Magnetic Field ◽  
Field Equation ◽  
Hydrogen Atom ◽  
Dirac Equation ◽  
Hyperfine Structure ◽  
Coulomb Potential ◽  
Energy Levels ◽  
Nonrelativistic Limit ◽  
New Treatment

Using the approach of the modified Euler–Lagrange field equation together with the corresponding Seiberg–Witten maps of the dynamical fields, a noncommutative Dirac equation with a Coulomb potential is derived. We then find the noncommutative modification to the energy levels and the possible new transitions. In the nonrelativistic limit a general form of the Hamiltonian of the hydrogen atom is obtained, and we show that the noncommutativity plays the role of spin and magnetic field which gives the hyperfine structure.

Energy levels of a hydrogen atom in a magnetic field

1994 ◽  
Vol 50 (1) ◽  
pp. 861-862 ◽  
Author(s):  
J. X. Zang ◽  
M. L. Rustgi
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Energy Levels

Summation of the perturbation series for the energy levels of a hydrogen atom in a magnetic field

1983 ◽  
Vol 102 (4) ◽  
pp. 344-353 ◽  
Author(s):  
Gustavo A. Arteca ◽  
Francisco M. Fernandez ◽  
Eduardo A. Castro
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Energy Levels ◽  
Perturbation Series
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