<title>Path integral representation of the evolution operator for the Dirac equation</title> [PDF]
Alexander Lukyanenko, Inna Lukyanenko
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Dirac equation on a G2 manifold
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
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Nanophotonic route to control electron behaviors in 2D materials
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
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DIRAC EQUATION ON A CURVED (2+1)-DIMENSIONAL HYPERSURFACE [PDF]
Mehmet Ali Olpak
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Chandrasekhar separation ansatz and the generalized total angular momentum for the Dirac equation in the Kerr-Newman metric [PDF]
Davide Batic, Harald Schmid
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Boundary Value Problems for the Perturbed Dirac Equation
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
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Solutions for the Klein–Gordon and Dirac Equations on the Lattice Based on Chebyshev Polynomials [PDF]
Nelson Faustino
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A New Space-Time Theory Unravels the Origins of Classical Mechanics for the Dirac Equation
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
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A variant of Dirac Equation with Super-symmetric partner
Bhupendra Badgaiyan
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On group invariant solutions to the Maxwell Dirac equations [PDF]
GP Legg
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