On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds

详细信息    查看全文

• 作者：K. Bakke ; C. Furtado
• 关键词：Permanent magnetic dipole moment ; Dirac oscillator ; Aharonov&ndash ; Casher effect ; Topological defect spacetime
• 刊名：Annals of Physics
• 出版年：2013
• 出版时间：September, 2013
• 年：2013
• 卷：336
• 期：Complete
• 页码：489-504
• 全文大小：434 K

文摘

In this paper, we study the influence of the Aharonov-Casher effect [Y. Aharonov, A. Casher, Phys. Rev. Lett. 53 (1984) 319] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the cosmic string spacetime and the cosmic dislocation spacetime. In this way, we solve the Dirac equation and obtain the energy levels for bound states and the Dirac spinors for positive-energy solutions. We show that the relativistic energy levels depend on the Aharonov-Casher geometric phase. We also discuss the influence of curvature and torsion on the relativistic energy levels and the Dirac spinors due to the topology of the cosmic string and cosmic dislocation spacetimes.