Modification of Effective Range Theory in the Presence of a Long-Range (1/R4) Potential (Classic Reprint) - Softcover
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Excerpt from Modification of Effective Range Theory in the Presence of a Long-Range (1/R4) Potential
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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Modification of Effective Range Theory in the Presence of a Long-Range (1/R4)
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Paperback. Condition: New. 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. print-on-demand item. Seller Inventory # 9781330143490_0
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Modification of Effective Range Theory in the Presence of a LongRange 1R4 Potential Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330143490
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Modification of Effective Range Theory in the Presence of a LongRange 1R4 Potential Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330143490
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