A SIMPLER SOLUTION OF THE NON-UNIQUENESS PROBLEM OF THE COVARIANT DIRAC THEORY

DOI10.1142/S0219887813500278zbMath1272.53038arXiv1205.3386OpenAlexW1973300158MaRDI QIDQ2845349

Mayeul Arminjon

Publication date: 22 August 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3386

zbMATH Keywords

Dirac equationHamiltonian operatortetrad fieldcurved space-timepreferred reference frame

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

On the non-uniqueness problem of the covariant Dirac theory and the spin-rotation coupling, Computational determination of the Dirac-theory adjunctator, Should there be a spin-rotation coupling for a Dirac particle?, On the definition of energy for a continuum, its conservation laws, and the energy-momentum tensor, Some remarks on quantum mechanics in a curved spacetime, especially for a Dirac particle

Cites Work

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• Bianchi identities in the case of large deformations
• Spin-rotation coupling and Fermi-Walker transport
• Dirac-type equations in a gravitational field, with vector wave function
• Compatibility equations for large deformations
• The nontriviality of trivial general covariance: how electrons restrict `time' coordinates, spinors (almost) fit into tensor calculus, and \(\frac{7}{16}\) of a tetrad is surplus structure
• A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
• The Dirac equation in orthogonal coordinate systems. II. The two-centre Dirac equation
• A non-uniqueness problem of the Dirac theory in a curved spacetime
• General relativity: Relative standard mass, momentum, energy and gravitational field in a general system of reference
• Representations of Dirac equation in general relativity
• THE EXTENDED ALGEBRA OF OBSERVABLES FOR DIRAC FIELDS AND THE TRACE ANOMALY OF THEIR STRESS-ENERGY TENSOR
• THE LOCALLY COVARIANT DIRAC FIELD
• Quantized Gravitational Field
• Separation of variables in the Dirac equation for one class of non-diagonal metrics
• Spinor fields in four dimensional space-time
• Length measurement in accelerated systems
• FOUR-VECTOR VERSUS FOUR-SCALAR REPRESENTATION OF THE DIRAC WAVE FUNCTION
• On reference frames in spacetime and gravitational energy in freely falling frames
• GENERAL REFERENCE FRAMES AND THEIR ASSOCIATED SPACE MANIFOLDS
• Hermitian Dirac Hamiltonian in the time-dependent gravitational field
• Canonical Variables for the Interacting Gravitational and Dirac Fields