Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles

1st Edition

Abbas Bahri

Chapman and Hall/CRC
Published November 28, 1997
Reference - 336 Pages
ISBN 9780582327498 - CAT# LM2749
Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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Summary

:The author of this volume defines a diffusion flow for a variational problem lacking completeness related to the geometry of a contact form a a and a vector field u in its kernel. He analyzes the ends of the flow lines and finds them to be of two types: one involving periodic orbits of the Reeb (Hamiltonian) vector field x, and the other where asymptotes occur. In the most general case these turn out to be periodic motions for x up to quantic jumps of a very special type along u. He shows that the mathematical results and the physical interpretation fit and provide new points of view useful in the foundations of quantum mechanics.

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