Quantum Particle-Trajectories and Geometric Phase

Abstract

"Particle"-trajectories are defined as integrable dxμ dpμ = 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.

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