Physical Problems Solved by the Phase-Integral Method

This book covers one of the most efficient approximation methods for the theoretical analysis and solution of problems in theoretical physics and applied mathematics. The method can be applied to any field involving second order ordinary differential equations. It is written with practical needs in mind, with 50 solved problems covering a broad range of subjects and making clear which concepts and results of the general theory are needed in each case. This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.

a Mathematical Approximation Method Important For Many Branches Of Theoretical Physics, Applied Mathematics And Engineering.

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this Book Serves As An Introduction To An Approximation Method For The Analysis And Solution Of Problems In Theoretical Physics And Applied Mathematics. It Provides Solutions To 50 Problems From Quantum Mechanics, Representing Various Degrees Of Difficulty. The Power Of The Asymptotic Solution Of Second-order Differential Equations Is Demonstrated. The Book Is Intended As A Manual For Users Of The Phase-integral Method, A Reference Text For Researchers, And A Graduate-level Textbook. The Authors Teach Theoretical Physics At Uppsala University. Annotation C. Book News, Inc., Portland, Or (booknews.com)

Covers a mathematical approximation method of central importance to many branches of theoretical physics, applied mathematics and engineering. Written with practical needs in mind, with 50 solved problems to demonstrate the applications of the method and the concepts involved. Ideal as an introduction for graduates and a reference for researchers. Cover; Half-title; Title; Copyright; Contents; Preface; 1 Historical survey; 2 Description of the phase-integral method; 3 Problems with solutions; References; Author index; Subject index.