Dirac Particles in a Gravitational Field

Abstract

The semiclassical approximation for the Hamiltonian of Dirac particles interacting with an arbitrary gravitational field is investigated. The time dependence of the metrics leads to new contributions to the in-band energy operator in comparison to previous works on the static case. In particular we find a new coupling term between the linear momentum and the spin, as well as couplings which contribute to the breaking of the particle - antiparticle symmetry.

References in corpus (7)

• Spin Hall effect of Photons in a Static Gravitational Field
• Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
• Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field
• Recursive Diagonalization of Quantum Hamiltonians to all order in $\hslash$
• Diagonal Representation for a Generic Matrix Valued Quantum Hamiltonian
• Appearance of Gauge Fields and Forces beyond the adiabatic approximation
• Appearance of Gauge Fields and Forces beyond the adiabatic approximation

Cited by in corpus (6)

• Spin in an arbitrary gravitational field
• Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
• Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
• Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation and similarity renormalization group
• Pauli equation and charged spin-1/2 particle in a weak gravitational field
• Scalar Supersymmetry in Bi-Spinor Gauge Theory