A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields

作者：Bakke K; Belich H

来源：Journal of Physics G: Nuclear and Particle Physics , 2015, 42(9): 095001.

DOI：10.1088/0954-3899/42/9/095001

• Lorentz symmetry violation
• Landau quantization
• crossed electric and magnetic fields
• linear confining potential
• hard-wall confining potential
• biconfluent Heun function

We investigate the arising of an analogue of the Landau quantization from a background of the violation of the Lorentz symmetry established by a time-like four-vector and a field configuration of crossed electric and magnetic field. We also analyse the effects on this Landau-type system subject to a hard-wall confining potential by showing a particular case where a discrete spectrum of energy can be obtained. Further, we analyse the effects of a linear confining potential on the Landau-type system. We show that a quantum effect characterized by the dependence of the cyclotron frequency on the quantum numbers of the system can arise in this analogue of the Landau system. As an example, we calculate the cyclotron frequency associated with ground state of the system.

• 出版日期2015-9