Modification of Coulomb law and energy levels of the hydrogen atom in a superstrong magnetic field
- LPTHE, tour 13-14, 43eme etage, Universite Pierre et Marie Curie Paris 06, BP 126, 4 place Jussieu, F-75252 Paris Cedex 05 (France)
- ITEP, 25 Bolshaya Cheremushkinskaya Ulitsa, RU-117259 Moscow (Russian Federation)
We obtain the following analytical formula which describes the dependence of the electric potential of a pointlike charge on the distance away from it in the direction of an external magnetic field B: {Phi}(z)=e/|z|[1-exp(-{radical}(6m{sub e}{sup 2})|z|)+exp(-{radical}((2/{pi})e{sup 3}B+6m{sub e}{sup 2})|z|)]. The deviation from Coulomb's law becomes essential for B>3{pi}B{sub cr}/{alpha}=3{pi}m{sub e}{sup 2}/e{sup 3{approx_equal}}6x10{sup 16} G. In such superstrong fields, electrons are ultrarelativistic except those which occupy the lowest Landau level (LLL) and which have the energy {epsilon}{sub 0}{sup 2}=m{sub e}{sup 2}+p{sub z}{sup 2}. The energy spectrum on which LLL splits in the presence of the atomic nucleus is found analytically. For B>3{pi}B{sub cr}/{alpha} it differs substantially from the one obtained without accounting for the modification of the atomic potential.
- OSTI ID:
- 21503995
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevD.83.025022; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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