Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles |
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Author:
| Bahri, Abbas |
Series title: | Chapman and Hall/CRC Research Notes in Mathematics Ser. |
ISBN: | 978-0-582-32749-8 |
Publication Date: | Nov 1997 |
Publisher: | CRC Press LLC
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Imprint: | Chapman & Hall/CRC |
Book Format: | Hardback |
List Price: | AUD $232.99 |
Book Description:
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: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...
More Description: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.