Synopsis
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.
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
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Paperback. Condition: 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. Seller Inventory # 9780243086368_0
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243086368
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Upper Bounds on Scattering Lengths for Static Potentials (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243086368
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