Results 11 to 20 of about 3,197,005 (354)
New Journal of Physics, 2014 We write the charge-free Maxwell equations in a form analogous to that of the Dirac equation for a free electron. This allows us to apply to light some of the ideas developed for the relativistic theory of the electron.
Stephen M Barnett
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Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime [PDF]
Science China Mathematics, 2016 We present several numerical methods and establish their error estimates for the discretization of the nonlinear Dirac equation (NLDE) in the nonrelativistic limit regime, involving a small dimensionless parameter 0 < ε ≤ 1 which is inversely ...
WeiZhu Bao +3 more
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The topological Dirac equation of networks and simplicial complexes [PDF]
arXiv.org, 2021 We define the topological Dirac equation describing the evolution of a topological wave function on networks or on simplicial complexes. On networks, the topological wave function describes the dynamics of topological signals or cochains, i.e.
G. Bianconi
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Dirac equation perspective on higher-order topological insulators [PDF]
Journal of Applied Physics, 2020 In this Tutorial, we pedagogically review recent developments in the field of non-interacting fermionic phases of matter, focusing on the low-energy description of higher-order topological insulators in terms of the Dirac equation.
F. Schindler
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Non-Commutative Integration of the Dirac Equation in Homogeneous Spaces [PDF]
Symmetry, 2020 We develop a non-commutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of equations on a Lie group of transformations of a homogeneous space.
A. Breev, A. Shapovalov
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The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds [PDF]
The European Physical Journal Plus, 2019 .In this article, we investigate the relativistic quantum dynamics of spin- $ \frac{1}{2}$12 particles in (1 + 2 -dimensional Gürses space-time backgrounds, and analyze the effects on the eigenvalues.
Faizuddin Ahmed
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The Dirac Equation in Curved Spacetime [PDF]
SpringerBriefs in Physics, 2018 In these informal lecture notes we outline different approaches used in doing calculations involving the Dirac equation in curved spacetime. We have tried to clarify the subject by carefully pointing out the various conventions used and by including ...
P. Collas, D. Klein
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The Dirac equation as a quantum walk over the honeycomb and triangular lattices [PDF]
Physical Review A, 2018 A discrete-time quantum walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QWs admit a continuum limit, leading to well-known physics partial differential equations, such as the ...
P. Arrighi +3 more
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Topology and the optical Dirac equation [PDF]
Physical Review A, 2018 Through understanding Maxwell's equations as an effective Dirac equation (the `optical Dirac equation'), we re-examine the relationship between electromagnetic interface states and topology.
S. Horsley
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Dirac Equation in (1+1)-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model. [PDF]
Physical Review Letters, 2017 We introduce an exact mapping between the Dirac equation in (1+1)-dimensional curved spacetime (DCS) and a multiphoton quantum Rabi model (QRM). A background of a (1+1)-dimensional black hole requires a QRM with one- and two-photon terms that can be ...
J. S. Pedernales +8 more
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