Dirac fermions in strong gravitational fields
Yuri N. ObukhovDepartment of Mathematics and Institute of Origins, University College London, Gower Street, London, WC1E 6BT, United KingdomAlexander J. SilenkoDepartment of Mathematics and Institute of Origins, University College London, Gower Street, London, WC1E 6BT, United KingdomOleg TeryaevDepartment of Mathematics and Institute of Origins, University College London, Gower Street, London, WC1E 6BT, United Kingdom
2011en
ABI
Аннотация
We discuss the dynamics of the Dirac fermions in the general strong gravitational and electromagnetic fields. We derive the general Hermitian Dirac Hamiltonian and transform it to the Foldy-Wouthuysen representation for the spatially isotropic metric. The quantum operator equations of motion are obtained and the semiclassical limit is analyzed. The comparison of the quantum mechanical and classical equations shows their complete agreement. The helicity dynamics in strong fields is discussed. Squaring the covariant Dirac equation explicitly shows a similarity of the interactions of electromagnetic and gravitational fields with a charged and spinning particle.
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