Relativistic free fermions in spiral dislocation space-time with a distortion of a radial line into a spiral

被引：8
|
作者：
Zare, S. [1 ]
Hassanabadi, H. [1 ]
Junker, G. [2 ]
机构：
[1] Shahrood Univ Technol, Fac Phys, Shahrood, Iran
[2] European Southern Observ, Karl Schwarzschild Str 2, D-85748 Garching, Germany
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2021年 / 36卷 / 30期
关键词：
Topological defects; Spiral dislocations; Dirac equation; Bender-Boettcher approach; PT symmetry; LANDAU-LEVELS; OSCILLATOR; PARTICLE; EQUATION; SPIN;
D O I：
10.1142/S0217751X21502158
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
Relativistic quantum mechanics of free fermions in the presence of the spiral dislocation of space-time with a distortion of a radial line into a spiral is studied within the Katanaev-Volovich geometric approach. The generalized Dirac equation in this background is constructed. Exact closed-form solutions are found by reducing the problem to that of a nonrelativistic two-dimensional 1/r-problem with a complex coupling constant. The influence of the defect parameter related to the spiral dislocation on these solutions is investigated. We also study the charge density of free fermions in the presence of such a spiral dislocation in space-time. Based on the Bender-Boettcher approach for non-Hermitian Hamiltonians we study, in addition, bound-state solutions of the system.
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页数：11
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