Quantum mechanics of Dirac particle beam optics: Single-particle theory

Abstract

It has been found that quantum corrections can substantially affect the classical results of tracking for trajectories close to the separatrix. Hence the development of a basic formalism for obtaining the quantum maps for any particle beam optical system is called for. To this end, it is observed that several aspects of quantum maps for the beam optics of spin-1/2 particles can be studied, at the level of single particle dynamics, using the proper formalism based on the Dirac equation.

10 pages, LaTeX2e

References in corpus (2)

• Stochastic collective dynamics of charged--particle beams in the stability regime
• The Diffractive Quantum Limits of Particle Colliders

Cited by in corpus (3)

• Quantum mechanics of round magnetic electron lenses with Glaser and power law models of $B(z)$
• Quantum mechanics of bending of a nonrelativistic charged particle beam by a dipole magnet
• A new matrix representation of the Maxwell equations based on the Riemann-Silberstein-Weber vector for a linear inhomogeneous medium