Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections

DOI10.1016/j.physleta.2015.08.021zbMath1349.81099arXiv1106.2236OpenAlexW2124501049MaRDI QIDQ341427

A. D. Alhaidari, Ahmed Jellal

Publication date: 16 November 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.2236

zbMATH Keywords

Klein-Gordon equationDirac equationcurved spacematrix operator algebrastatic metricsymmetric quantization

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Geometry and quantization, symplectic methods (81S10) Operator algebra methods applied to problems in quantum theory (81R15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• New method of integration for the Dirac equation on a curved space-time
• EXACT SOLUTIONS OF DIRAC AND SCHRÖDINGER EQUATIONS FOR A LARGE CLASS OF POWER-LAW POTENTIALS AT ZERO ENERGY
• Champs spinoriels et propagateurs en relativité générale
• On the covariant derivative of tensor-undors

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