Semi-Classical Approximation in Quantum Mechanics

Victor P. Maslov

ISBN 10: 1402003064 / ISBN 13: 9781402003066

Edité par Springer-Verlag New York Inc., 2001

A propos de cet article

This item is printed on demand. New copy - Usually dispatched within 5-9 working days 475. N° de réf. du vendeur C9781402003066

Détails bibliographiques

Titre : Semi-Classical Approximation in Quantum ...

Éditeur : Springer-Verlag New York Inc.

Date d'édition : 2001

Reliure : Paperback / softback

Etat : New

A propos de ce titre

Synopsis :

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.