Spinning relativistic particles in external fields

Abstract

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin corrections to the equations of motion is built with the noncovariant description of spin and with the usual, "naïve" definition of the coordinate of a relativistic particle.

Spin and localization of relativistic fermions and uncertainty relations

“…These include influence of other forces [48], such as the Newtonian gravity, and also take into account the spin backreaction. While the latter naturally leads to the expansion in powers of spin, we restrict our discussion here only to the expression linear in S (see, e.g., [21,49] for discussions of the higher-order spin terms).…”

“…Moreover, analyzing dynamics of classical spinning particles and aiming to match their quantum mechanics with results of fundamental quantum theory results in additional crop of position variables [21,40,41].…”

“…For the purposes of beam manipulation and scattering analysis the spin states are conveniently characterized by helicity, rest frame spin or four-polarization vector [19], and the spin is evolved under the assumption of a given particle trajectory [16,17] Dynamics of mixed quantum-classical systems, while often a convenient approximation, leads to inconsistencies ( [20] and references therein). Order by order calculations of spin backreaction on the trajectory improve precision, but bring in higher-order derivatives, spurious solutions and difficulty in formulating Hamiltonian dynamics [21].…”

Gravitational Waves Interacting with a Spinning Charged Particle in the Presence of a Uniform Magnetic Field

“…Upon the consideration of the assumption(λ = 0) (Pomeranskiǐ et al 2000 and references therein), we neglect particular terms in Eqs. (2), (3) and a simplified covariant model is obtained:…”

“…Following the strategy of Ref. (1), in the so called DS equations of motion and neglecting the spin-electromagnetism interaction terms [21,35], we determine the response of a spinning charged particle in a uniform magnetic field to an incident GW and verify a strong coupling of the external fields (magnetic and gravitational fields) to the spin, producing resonaces. Those resonances may cause drastic enhancement in motion which may have interesting astrophysical applications.…”