A (2+1)-dimensional fermion in the Coulomb and magnetic field backgrounds

被引：10

作者：

Khalilov, VR ^{[1
]}

机构：

[1] Moscow State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1999年 / 119卷 / 01期

关键词：

Dirac Equation; Landau Level; Weak Magnetic Field; Quantum Hall Effect; Coulomb Field;

D O I：

10.1007/BF02557346

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the problem of a two-dimensional hydrogen-like atom in a magnetic field background, we construct quasi-classical solutions and the energy spectrum of the Dirac equation in a strong Coulomb field and in a weak constant homogeneous magnetic field in 2+1 dimensions. We find some "exact" solutions of the Dirac and Pauli equations describing the "spinless" fermions in strong Coulomb fields and in homogeneous magnetic fields in 2+1 dimensions.

引用

页码：481 / 492

页数：12

共 50 条

[1] A (2+1)-dimensional fermion in the Coulomb and magnetic field backgrounds
V. R. Khalilov
Theoretical and Mathematical Physics, 1999, 119 : 481 - 492
[2] Fermion pair creation by a strong Coulomb field in 2+1 dimensions
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[3] Fermion pair creation by a strong Coulomb field in 2+1 dimensions
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[4] Polarization of vacuum by an external magnetic field in the (2+1)-dimensional quantum electrodynamics with a nonzero fermion density
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[5] Polarization of vacuum by an external magnetic field in the (2+1)-dimensional quantum electrodynamics with a nonzero fermion density
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[9] Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
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[10] Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
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The European Physical Journal C, 2015, 75

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