The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.78
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Add to basketItem description from seller
Print on Demand. This intriguing book explores the motion of a charged particle in a magnetic field, using repeated canonical transformations of a Hamiltonian system. The author, a distinguished researcher in the field, presents an accessible and thorough examination of this fundamental problem in plasma physics. Building on earlier work, the author develops a systematic perturbation procedure that preserves the Hamiltonian character of the system, allowing for the elimination of degrees of freedom and the study of the simpler motion of guiding centers. The analysis reveals the existence of adiabatic invariants, which simplify the study of particle dynamics and provide insights into the long-time behavior of charged particles in magnetic fields. The research presented in this book contributes to our understanding of the behavior of charged particles in magnetic fields, which is crucial for advancing fields such as magnetic fusion energy research and plasma physics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781333605025_0
- Title
- The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field
- Author
- Harold Weitzner
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333605021
- ISBN 13
- 9781333605025
- Seller catalogs
- Physics
The motion of a single charged particle in a given magnetic field, one of the first problems studied in plasma physics,(1) has recently become of interest again. Two topics of immediate significance in magnetic fusion energy research have sparked the current concernzlz) the confinement of high energy alpha particles and the drift motion of moderate energy particles induced by small magnetic fields that break axial symmetry. The large body of older theory has been used to provide a base for extensive numerical computations. Here, we examine the problemiwith analytic tools to discover what improved descriptions of single particle motion we are able to provide. The critical concept in the study of the single particle dynamics is the existence of adiabatic invariants of the motion which allows great simplifications in the study of the dynamics. The adiabatic invariants are associated with the presence of a physical parameter which is small, the ratio of the larmor radius to the characteristic distance over which magnetic fields vary; and we denote this parameter by 6. Unlike the earlier treatments we assume that parts of the axisymmetric magnetic field may be small in e and we also take the symmetry breaking field to be small in e. Not surprisingly, we find that these assumptions do allow considerably more analysis than is possible without them.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Forgotten Books
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