Results 1 to 10 of about 16,019 (311)

Dirac equation on a G2 manifold

open access: yesPhysics Letters B, 2002
We find a large family of solutions to the Dirac equation on a manifold of $G_2$ holonomy asymptotic to a cone over $S^3 \times S^3$, including all radial solutions. The behaviour of these solutions is studied as the manifold developes a conical singularity. None of the solutions found are both localised and square integrable at the origin. This result
openaire   +2 more sources

Nanophotonic route to control electron behaviors in 2D materials

open access: yesNanophotonics
Two-dimensional (2D) Dirac materials, e.g., graphene and transition metal dichalcogenides (TMDs), are one-atom-thick monolayers whose electronic behaviors are described by the Dirac equation.
Kang DongJun   +5 more
doaj   +1 more source

Boundary Value Problems for the Perturbed Dirac Equation

open access: yesAxioms
The perturbed Dirac operators yield a factorization for the well-known Helmholtz equation. In this paper, using the fundamental solution for the perturbed Dirac operator, we define Cauchy-type integral operators (singular integral operators with a Cauchy
Hongfen Yuan, Guohong Shi, Xiushen Hu
doaj   +1 more source

A New Space-Time Theory Unravels the Origins of Classical Mechanics for the Dirac Equation

open access: yesQuantum Reports
The Feynman path integral plays a central role in quantum mechanics, linking classical action to propagators and relating quantum electrodynamics (QED) to Feynman diagrams.
Wei Wen
doaj   +1 more source

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