Modification of Effective Range Theory in the Presence of a Long-Range (1/R4)
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.38
Quantity: Over 20 available
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Print on Demand. This book is a detailed study of the effective range theory expansion of k cot n(L) for a potential which asymptotically approaches a constant times 1/r to the n power. The authors find that for n greater than or equal to 5, such an expansion does not exist. For n equal to 4, they find that the expansion breaks down at a term that depends upon L. For n equal to 1, they find that the usual shape independent approximation is not useful, even for L equal to 0. The authors develop an expansion of k cot n(0) about zero energy that contains a number of terms not present in the usual effective range theory, including a term linear in k. The authors also obtain the leading terms in the expansion of k2 cot n(L) for L not equal to 0. The analysis is very much simplified by the existence of known mathematical solutions, Mathieu functions, of the Schroedinger equation with V(r) equal to a constant times r to the minus 4 power. 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 # 9781330143490_0
- Title
- Modification of Effective Range Theory in the Presence of a Long-Range (1/R4)
- Author
- Thomas F. O'malley
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330143493
- ISBN 13
- 9781330143490
- Seller catalogs
- Quantum Mechanics
The range of validity of effective range theory must to some extent be reexamined in each new application. Nevertheless, in atomic physics.
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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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