Equivalence and hermiticity of Dirac Hamiltonians in the Kerr gravitational field

DOI10.1002/andp.201400035zbMath1316.81041arXiv1402.6639OpenAlexW1883706458WikidataQ114239028 ScholiaQ114239028MaRDI QIDQ5257917

M. V. Gorbatenko, V. P. Neznamov

Publication date: 24 June 2015

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

Full work available at URL: https://arxiv.org/abs/1402.6639

zbMATH Keywords

the Chandrasekhar's Dirac Hamiltonianthe Dirac Hamiltonian in the \(\eta\) representationthe Kerr gravitational field

Mathematics Subject Classification ID

Black holes (83C57) 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) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Analysis of half-spin particle motion in Kerr-Newman field by means of effective potentials in second-order equations ⋮ 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?

Cites Work

• Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems
• Complex Extension of Quantum Mechanics
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Finite motion of electrons in the field of microscopic black holes
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Maximal Analytic Extension of the Kerr Metric
• Type D Vacuum Metrics

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