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Maia, A. V. D. M.; Bakke, K.

Relativistic Landau quantization in the spiral dislocation spacetime. (English) Zbl 1521.81095

Commun. Theor. Phys. 73, No. 2, Article ID 025103, 5 p. (2021).
Summary: We analyse the interaction of a relativistic electron with a uniform magnetic field in the spiral dislocation spacetime. We show that analytical solutions to the Dirac equation can be obtained, where the spectrum of energy corresponds to the relativistic Landau levels. We also analyse the influence of the spiral dislocation on the relativistic Landau levels by showing that there exists an analogue of the Aharonov-Bohm effect for bound states.

Cited in 1 Document

MSC:

81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory

Keywords:

spiral dislocation spacetime; relativistic Landau quantization; Aharonov-Bohm effect; relativistic wave equations; Dirac equation
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References:

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