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VOLUME 72 (2000) | ISSUE 11 | PAGE 785
Quantum particle-trajectories and geometric phase
PACS: 03.65.Bz, 03.75.-b, 11.90.+t
Particle-trajectories are defined as integrable άχμάρμ ~ 0 paths in projective space. Quantum states evolving on such trajectories, open or closed, do not delocalise in projection, the phase associated with the trajectories being related to the geometric (Berry) phase and the Classical Mechanics action. Properties at high energies of the states evolving on particle-trajectories are discussed.