Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions

被引：0
|
作者：
V. R. Khalilov
K. E. Lee
机构：
[1] Lomonosov Moscow State University,
来源：
Theoretical and Mathematical Physics | 2011年 / 169卷
关键词：
symmetric operator; self-adjoint extension of the Hamiltonian; Coulomb potential in 2+1 dimensions; Aharonov-Bohm potential; spin;
D O I：
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学科分类号：
摘要：
We find all self-adjoint Dirac Hamiltonians in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions with the fermion spin taken into account. We obtain implicit equations for the spectra and construct eigenfunctions for all self-adjoint Dirac Hamiltonians in the indicated external fields. We find explicit solutions of the equations for the spectra in some cases.
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页码：1683 / 1703
页数：20
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