Upper Bounds on Scattering Lengths When Composite Bound States Exist
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
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Condition: New
£ 13.54
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Print on Demand. This book introduces a theoretical framework to determine upper bounds on scattering lengths for zero-energy scattering problems faced in physics. The author presents a critical examination of the existing literature on the subject and formulates a method for obtaining rigorous upper bounds on scattering lengths. Ideas like these are of fundamental importance in the investigation of atomic and nuclear phenomena, and this book strategically offers relatable examples for better understanding. The approach detailed in this book provides a useful complement to the reaction theory in quantum mechanics, and the concepts help to recognize the connection between mathematically related problems in different fields of physics. It highlights the generalized variational principle in nonrelativistic quantum mechanics, which achieves its simplicity and effectiveness in obtaining upper and lower bounds of the scattering length. The author extensively covers the abstract theory and includes a separate section on the scattering of a particle by a compound system as well as the case of many bound states. 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 # 9781333721916_0
- Title
- Upper Bounds on Scattering Lengths When Composite Bound States Exist
- Author
- L. Rosenberg, L. Spruch
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333721919
- ISBN 13
- 9781333721916
- Seller catalogs
- Quantum Mechanics
In Section II a number of results are obtained which provide upper bounds on the scattering length for the case where only one bound state exists. In Section III it is shown that there are well defined circumstances for which some ordinary variational calculations provide a bound. An alternate method for obtaining bounds, based on.the Kato formalism, is considered in Section IV. The extension to the case of many bound states is treated in Section V. Since in this case the exact scattering function has a number of nodes (even for the scattering of a particle by a center of force), making the construction of an accurate trial function more difficult, it would seem that a minimum principle for the scattering length is even more valuable here.
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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 publishes hundreds of thousands of rare and classic books.
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.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
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