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Sinopsis
Excerpt from Upper Bounds on Scattering Lengths for Static Potentials
The scattering length. The Born approximation also provides an upper bound, Since it may be derived from the Kohn principle. 'while the Rubinow formulation9 need not give a bound, for those calculations that have been performed in the Robinow form, it is a trivial matter to convert the results to the Kohn form, thereby obtaining a bound.
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Reseña del editor
Excerpt from Upper Bounds on Scattering Lengths for Static Potentials
The scattering length. The Born approximation also provides an upper bound, Since it may be derived from the Kohn principle. 'while the Rubinow formulation9 need not give a bound, for those calculations that have been performed in the Robinow form, it is a trivial matter to convert the results to the Kohn form, thereby obtaining a bound.
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.
Reseña del editor
Excerpt from Upper Bounds on Scattering Lengths for Static Potentials
Variational methods have proved to be of great value in the theoretical analysis of the problem of the scattering of a particle by a center of force. However, the utility of variational techniques in the more complicated problem of scattering by a compound system is considerably impaired by the fact that it is more difficult, in the many body problem, to construct accurate trial functions, and a variational calculation, using a poor trial function, will generally lead to poor results. In fact, these calculations will only be meaningful when accompanied by an affirmation of validity, using some reliable criterion. It is our purpose to present one such rigorous validity criterion for the case of zero energy scattering. The present discussion will, for the sake of clarity of presentation, be confined to the problem of scattering by'a static potential; the generalization to the more interesting problem in which the scatterer.
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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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: New. Print on Demand. This book examines the variational principle in the context of zero energy scattering problems of a particle by a center of potential. The variational principle is an essential tool in the theoretical analysis of scattering problems, particularly in many body problems, where constructing accurate trial functions is more difficult. The author presents a rigorous validity criterion for the variational principle for the case of zero energy scattering of a particle by a center of force, where no bound state exists. It is shown that the Kohn, Hulthen, and Born approximations all provide upper bounds on the scattering length, which characterizes the low energy scattering. The Rubinow formulation need not provide a bound, but the results of calculations based on this formulation can be rearranged to correspond to the Kohn form, thereby obtaining a bound. This book is a valuable resource for researchers and students working on scattering problems, particularly in the field of many body physics. It provides a deeper understanding of the variational principle and its applications in scattering theory and can help guide researchers in their own work on these problems. 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. print-on-demand item. Nº de ref. del artículo: 9780243086368_0
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
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Forgotten Books, 2018
ISBN 10: 0243086369
ISBN 13: 9780243086368
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Condición: Like New. In unused condition, may show some slight shelf wear, but otherwise unread. This title was digitally scanned from a rare, out of print edition, and will have some visual artifacts from that process. Nº de ref. del artículo: #264B-0093
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780243086368
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780243086368
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