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Semi-Classical Approximation in Quantum Mechanics (Hardcover, 1981 ed.)
Loot Price: R3,245
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Semi-Classical Approximation in Quantum Mechanics (Hardcover, 1981 ed.)
Series: Mathematical Physics and Applied Mathematics, 7
Expected to ship within 12 - 17 working days
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Total price: R3,265
Discovery Miles: 32 650
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This volume is concerned with a detailed description of the
canonical operator method - one of the asymptotic methods of linear
mathematical physics. The book is, in fact, an extension and
continuation of the authors' works [59], [60], [65]. The basic
ideas are summarized in the Introduction. The book consists of two
parts. In the first, the theory of the canonical operator is
develop ed, whereas, in the second, many applications of the
canonical operator method to concrete problems of mathematical
physics are presented. The authors are pleased to express their
deep gratitude to S. M. Tsidilin for his valuable comments. THE
AUTHORS IX INTRODUCTION 1. Various problems of mathematical and
theoretical physics involve partial differential equations with a
small parameter at the highest derivative terms. For constructing
approximate solutions of these equations, asymptotic methods have
long been used. In recent decades there has been a renaissance
period of the asymptotic methods of linear mathematical physics.
The range of their applicability has expanded: the asymptotic
methods have been not only continuously used in traditional
branches of mathematical physics but also have had an essential
impact on the development of the general theory of partial
differential equations. It appeared recently that there is a
unified approach to a number of problems which, at first sight,
looked rather unrelated.
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