Spacetime algebra and electron physics

C Doran, A Lasenby, S Gull, S Somaroo… - Advances in imaging and …, 1996 - Elsevier
Publisher Summary This chapter presents a survey on the application of “geometric algebra”
to the physics of electrons. Geometric algebra is the simplest and most coherent language …

Spinning relativistic particles in external fields

AA Pomeranskii, RA Sen'kov, IB Khriplovich - Physics-Uspekhi, 2000 - iopscience.iop.org
The motion of spinning relativistic particles in external electromagnetic and gravitational
fields is considered. The self-consistent equations of motion are built with the noncovariant …

Equations of motion of a spinning relativistic particle in external fields

AA Pomeranskii, IB Khriplovich - Journal of Experimental and Theoretical …, 1998 - Springer
We consider the motion of a spinning relativistic particle in external electromagnetic and
gravitational fields to first order in the external field but to arbitrary order in the spin. The …

Gravitational scattering of compact bodies from worldline quantum field theory

GU Jakobsen - arXiv preprint arXiv:2308.04388, 2023 - arxiv.org
In this work the worldline quantum field theory (WQFT) approach to computing observables
of the classical general relativistic two-body system is presented. Compact bodies such as …

Spin and Susceptibility Effects of Electromagnetic Self-Force in Effective Field Theory

GU Jakobsen - Physical Review Letters, 2024 - APS
The classic Abraham-Lorentz-Dirac self-force of pointlike particles is generalized within an
effective field theory setup to include linear spin and susceptibility effects described …

Relativistic generalization and extension to the non-Abelian gauge theory of Feynman's proof of the Maxwell equations

S Tanimura - Annals of Physics, 1992 - Elsevier
Abstract RP Feynman showed FJ Dyson a proof of the Lorentz force law and the
homogeneous Maxwell equations, which the obtained starting from Newton's law of motion …

Geometric algebra and its application to mathematical physics

CJL Doran - 1994 - repository.cam.ac.uk
This dissertation is the result of work carried out in the Department of Applied Mathematics
and Theoretical Physics between October 1990 and October 1993. Sections of the …

Magnetized particle motion around non-Schwarzschild black hole immersed in an external uniform magnetic field

JR Rayimbaev - Astrophysics and Space Science, 2016 - Springer
The motion of a magnetized particle orbiting around non-Schwarzschild black hole
immersed in an external uniform magnetic field is considered. The influence of deformation …

Magnetized orbits around a Schwarzschild black hole

F de Felice, F Sorge - Classical and Quantum Gravity, 2003 - iopscience.iop.org
We study the motion of a magnetized particle orbiting around a supermassive Schwarzschild
black hole, surrounded by a strong (asymptotically uniform) magnetic field. Using the …

Equations of motion for spinning particles in external electromagnetic and gravitational fields

K Yee, M Bander - Physical Review D, 1993 - APS
The equations of motion for the position and spin of a classical particle coupled to an
external electromagnetic and gravitational potential are derived from an action principle. The …