Lectures on the Theory of Few-Body Systems (Springer Series in Nuclear and Particle Physics) - Hardcover

Book 43 of 120: Springer Series on Atomic, Optical, and Plasma Physics

Belyaev, Vladimir B.

 
9783540185871: Lectures on the Theory of Few-Body Systems (Springer Series in Nuclear and Particle Physics)

Synopsis

Nuclear physics is undoubtedly a many-body problem. A nice introduction into the present status of this subject may be found in the comprehensive mono- graph by P. Ring and P. Schuck "The Nuclear Many-Body Problem" (Springer, Berlin, Heidelberg, New York 1980). However, in view of the many challenging problems that remain to be tackled, it is sensible to consider systems with few particles as model cases. These provide the basis for solving the sophisticated many-body problem posed by intermediate and heavy nuclei. Out of the large number of existing nuclear systems, few-particle, that is few-nucleon, systems can be singled out to form a special group. This is possi- ble because a comparatively small number of degrees of freedom (or dynamic variables) is required for a complete description of such systems. In these Lectures we utilize this to study few-body systems in great detail, in particular three-and four-body systems. In contrast to published monographs on the subject, we deal not just with nucleonic degrees of freedom but consider also non-nucleonic degrees of freedom. The range of approaches and methods examined exceeds the scope of other textbooks. The Lectures are organized in such a way as to guide the uninitiated reader through the essentials of solving the dynamical equations of few-body systems directly towards practical applications. Formally oriented readers might like to supplement their reading with texts such as "The Quantum Mechanical Few- Body Problem" by W. GlOckle (Springer, Berlin, Heidelberg, New York 1983).

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Synopsis

These lectures deal with quantum mechanical two-, three-, and four-body systems. The dynamical equations are presented together with approximate methods of solution. Examples dealing with realistic few-body nuclear systems illustrate the working of these approaches, quite a few of which are not discussed in standard textbooks on quantum mechanics. In contrast to the usual treatment, we deal not only with nucleonic but also with non-nucleonic degrees of freedom. These lectures introduce uninitiated readers to the particulars of few-body systems, and lead them through various useful approaches and approximations. They provide the tools and expertise necessary for independent calculations and research in this field. Besides covering the traditional topics, different versions of finite-dimensional approximations of the potential, an exhaustive review of methods of solving three-body equations, and the differential form of the approximate four-body and Yakubovsky equations are given.

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9783642872945: Lectures on the Theory of Few-Body Systems (Springer Series in Nuclear and Particle Physics)

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ISBN 10:  3642872948 ISBN 13:  9783642872945
Publisher: Springer, 2012
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