Quantum Particle-Trajectories and Geometric Phase

Abstract

"Particle"-trajectories are defined as integrable $d{x}_{\mu }d{p}^{\mu }=0$ paths in projective space. Quantum states evolving on such trajectories, open or closed, do not delocalise in $(x,p)$ projection, the phase associated with the trajectories being related to the geometric (Berry) phase and the Classical Mechanics action. High Energy Physics properties of states evolving on "particle"-trajectories are discussed.

4 pages

References in corpus (1)

• Bargmann Invariants and Geometric Phases - a Generalised Connection