Analysis as a source of geometry: a non-geometric representation of the Dirac equation

DOI10.1088/1751-8113/48/16/165203zbMath1312.81062arXiv1401.3160OpenAlexW3102751566MaRDI QIDQ5248752

Dmitri Vassiliev, Yan-Long Fang

Publication date: 8 May 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3160

zbMATH Keywords

gauge theoryDirac equationanalysis of partial differential equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometry and quantization, symplectic methods (81S10) Special relativity (83A05) Electromagnetic theory (general) (78A25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Spectral analysis of the Dirac operator on a 3-sphere ⋮ Analytic definition of spin structure ⋮ Classification of first order sesquilinear forms

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