INTRODUCTION TO QUANTUM MECHANICS: SCHRODINGER EQUATION AND PATH INTEGRAL - Hardcover

Muller-Kirsten, Harald J W

Hardcover

ISBN 10: 9812566910 ISBN 13: 9789812566911

Publisher: World Scientific Publishing Company, 2006

Synopsis

After a consideration of basic quantum mechanics, this introduction aims at a side by side treatment of fundamental applications of the Schrödinger equation on the one hand and the applications of the path integral on the other. Different from traditional texts and using a systematic perturbation method, the solution of Schrödinger equations includes also those with anharmonic oscillator potentials, periodic potentials, screened Coulomb potentials and a typical singular potential, as well as the investigation of the large order behavior of the perturbation series. On the path integral side, after introduction of the basic ideas, the expansion around classical configurations in Euclidean time, such as instantons, is considered, and the method is applied in particular to anharmonic oscillator and periodic potentials. Numerous other aspects are treated on the way, thus providing the reader an instructive overview over diverse quantum mechanical phenomena, e.g. many other potentials, Green's functions, comparison with WKB, calculation of lifetimes and sojourn times, derivation of generating functions, the Coulomb problem in various coordinates, etc. All calculations are given in detail, so that the reader can follow every step.

About this title

Review:

?... for all readers interested in specific aspects of perturbation methods, path integrals, and their applications in classical field theory

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2006
• ISBN 10: 9812566910
• ISBN 13: 9789812566911
• Binding: Hardcover
• Number of pages: 828