Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles: 1st Edition (Hardback) book cover

Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles

1st Edition

By Abbas Bahri

Chapman and Hall/CRC

336 pages

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Hardback: 9780582327498
pub: 1997-11-28
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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.

Table of Contents

Introduction

Technical Construction of a Diffusion Flow and Convergence Theorems

The Variational Problem at Infinity

The Underlying Variational Space

The Classical Periodic Motions

Appendix 1: Some Technical Justifications

Appendix 2: The Dynamics of a (see symbol) along v (see symbol): Basic Computations

Appendix 3: Some Additional Remarks About the Physical Interpretation, Two Mathematical Conjectures

Appendix 4: How to Take Care of the Problem of the Small Normals

References

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
SCI040000
SCIENCE / Mathematical Physics