scholarly journals Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field

2012 ◽  
Vol 718 (1) ◽  
pp. 228-231 ◽  
Author(s):  
S.I. Kruglov
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dirac Equation ◽  
Lorentz Invariance ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Modified Dirac Equation

scholarly journals Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Shu-Zheng Yang ◽  
Kai Lin ◽  
Jin Li ◽  
Qing-Quan Jiang
Keyword(s):  
Dirac Equation ◽  
Semiclassical Approximation ◽  
Lorentz Invariance ◽  
High Energy ◽  
Dirac Field ◽  
Tunneling Radiation ◽  
Fermions Tunneling ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Modified Dirac Equation

Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics. In this paper, the modified Dirac equation has been generalized in curved spacetime, and then fermion tunneling of black holes is researched under this correctional Dirac field theory. We also use semiclassical approximation method to get correctional Hamilton-Jacobi equation, so that the correctional Hawking temperature and correctional black hole’s entropy are derived.

scholarly journals NONCOMMUTATIVE GRAPHENE

2013 ◽  
Vol 28 (16) ◽  
pp. 1350064 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dirac Equation ◽  
Energy Levels ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Dirac System ◽  
Noncommutative Parameter

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.

Sign in / Sign up

Export Citation Format

Share Document