A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators

DOI10.1002/andp.201100166zbMath1244.81047arXiv1107.4556OpenAlexW2166924437MaRDI QIDQ2893446

Mayeul Arminjon

Publication date: 20 June 2012

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4556

zbMATH Keywords

relativistic wave equationsquantum fields in curved spacetimeLagrangian and Hamiltonian approachEinstein-Maxwell spacetimesspacetimes with fluidsradiation or classical fields

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) Electromagnetic fields in general relativity and gravitational theory (83C50) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Einstein-Maxwell equations (83C22)

Related Items (4)

On the non-uniqueness problem of the covariant Dirac theory and the spin-rotation coupling ⋮ Should there be a spin-rotation coupling for a Dirac particle? ⋮ Some remarks on quantum mechanics in a curved spacetime, especially for a Dirac particle ⋮ A SIMPLER SOLUTION OF THE NON-UNIQUENESS PROBLEM OF THE COVARIANT DIRAC THEORY

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• GENERAL REFERENCE FRAMES AND THEIR ASSOCIATED SPACE MANIFOLDS
• Hermitian Dirac Hamiltonian in the time-dependent gravitational field

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