Results 31 to 40 of about 3,197,005 (354)
Bound states of the Dirac equation on Kerr spacetime [PDF]
, 2015 We formulate the Dirac equation for a massive neutral spin-half particle on a rotating black hole spacetime, and we consider its (quasi)bound states: gravitationally-trapped modes which are regular across the future event horizon.
S. Dolan, David P. Dempsey
semanticscholar +1 more source
Dirac equation and the Melvin metric [PDF]
, 2015 A relativistic wave equation for spin 1/2 particles in the Melvin space-time, a space-time where the metric is determined by a magnetic field, is obtained. The energy levels for these particles are obtained as functions of the magnetic field and compared
L. C. N. Santos, C. C. Barros
semanticscholar +1 more source
Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation
Advances in High Energy Physics, 2016 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.
Shu-Zheng Yang +3 more
doaj +1 more source
Lorentz covariance of optical Dirac equation and spinorial photon field
New Journal of Physics, 2021 In a recent paper (2014 New J. Phys. 16 093008) Barnett discussed the so-called optical Dirac equation and referred to the involved wave function as a spinor. But as he claimed explicitly, he did not really associate that wave function with a true spinor.
Xiao-Lu You, Chun-Fang Li
doaj +1 more source
Formal Analogy between the Dirac Equation in Its Majorana Form and the Discrete-Velocity Version of the Boltzmann Kinetic Equation [PDF]
Physical Review Letters, 2013 We point out a formal analogy between the Dirac equation in Majorana form and the discrete-velocity version of the Boltzmann kinetic equation. By a systematic analysis based on the theory of operator splitting, this analogy is shown to turn into a ...
François Fillion‐Gourdeau +4 more
openalex +3 more sources
Characterization of the non-homogenous Dirac-harmonic equation
Journal of Inequalities and Applications, 2021 We introduce the non-homogeneous Dirac-harmonic equation for differential forms and characterize the basic properties of solutions to this new type of differential equations, including the norm estimates and the convergency of sequences of the solutions.
Guannan Shi, Shusen Ding, Bing Liu
doaj +1 more source
Testing the Dirac Equation [PDF]
, 2007 The dynamical equations which are basic for the description of the dynamics of quantum felds in arbitrary space--time geometries, can be derived from the requirements of a unique deterministic evolution of the quantum fields, the superposition principle, a finite propagation speed, and probability conservation.
Lämmerzahl, Claus, Bordé, Christian J.
openaire +2 more sources
The massive Dirac equation in Kerr geometry: separability in Eddington–Finkelstein-type coordinates and asymptotics [PDF]
, 2015 The separability of the massive Dirac equation in the non-extreme Kerr geometry in horizon-penetrating advanced Eddington–Finkelstein-type coordinates is shown. To this end, Kerr geometry is described by a Carter tetrad and the Dirac spinors and matrices
C. Röken
semanticscholar +1 more source
Electronic states of graphene nanoribbons studied with the Dirac equation [PDF]
, 2006 We study the electronic states of narrow graphene ribbons (``nanoribbons'') with zigzag and armchair edges. The finite width of these systems breaks the spectrum into an infinite set of bands, which we demonstrate can be quantitatively understood using ...
L. Brey, H. Fertig
semanticscholar +1 more source
Construction of Dirac spinors for electron vortex beams in background electromagnetic fields
Physical Review Research, 2021 Exact solutions of the Dirac equation, a system of four partial differential equations, are rare. The vast majority of them are for highly symmetric stationary systems. Moreover, only a handful of solutions for time dependent dynamics exists.
Andre G. Campos +2 more
doaj +1 more source