Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles

1. Auflage 1997
ISBN: 978-0-582-32749-8
Verlag: Chapman and Hall/CRC

Buch, Englisch, Band 378, 336 Seiten, Format (B × H): 216 mm x 279 mm, Gewicht: 680 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

: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.

Autoren/Hrsg.

Bahri, Abbas

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

IntroductionTechnical Construction of a Diffusion Flow and Convergence TheoremsThe Variational Problem at InfinityThe Underlying Variational SpaceThe Classical Periodic MotionsAppendix 1: Some Technical JustificationsAppendix 2: The Dynamics of a (see symbol) along v (see symbol): Basic ComputationsAppendix 3: Some Additional Remarks About the Physical Interpretation, Two Mathematical ConjecturesAppendix 4: How to Take Care of the Problem of the Small NormalsReferences