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  1. Interaction in the geometro-differential conception of extended particles and the Galilei semigroup of trajectories.Mahmoud Hachemane, Mohamed Abdelwahab Benbitour & Abdallah Smida - 1997 - Foundations of Physics 27 (4):579-594.
    Along the lines of a previous work, the geometrical structure of Hibert bundles describing extended quantum free particles is repeated with Galilei external and internal independent symmetries. Then, in order to introduce the interaction, this structure is extended by replacing configuration and momentum spaces by the socelled spaces of trajectories and extended velocity boosts, respectively. These provide representations giving the probability amplitudes for the particle to follow certain trajectories. The interaction can be introduced in the transformation law from functions on (...)
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