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Relativistic Landau quantization in the spiral dislocation spacetime
Authors:A V D M Maia  K Bakke
Affiliation:Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil
Abstract: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.
Keywords:spiral dislocation spacetime  relativistic Landau quantization  Aharonov-Bohm effect  relativistic wave equations  Dirac equation  
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