INTRODUCTION TO QUANTUM MECHANICS: SCHRODINGER EQUATION AND PATH INTEGRAL (SECOND EDITION) - Hardcover

Muller-Kirsten, Harald J W

Hardcover

ISBN 10: 9814397733 ISBN 13: 9789814397735

Publisher: World Scientific Publishing Company, 2012

Synopsis

This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions.In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.

About this title

Review

It will be useful for theoretical physicists who wish to enlarge their skill in quantum mechanics and for postgraduate students studying quantum mechanics on a deep level. -- Zentralblatt MATH "Zentralblatt MATH"

For all readers interested in specific aspects of perturbation methods, path integrals, and their applications in classical field theory, this book provides a valuable source for their studies. -- Mathematical Reviews "Mathematical Reviews"

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2012
• Language: English
• ISBN 10: 9814397733
• ISBN 13: 9789814397735
• Binding: Hardcover
• Edition number: 2
• Number of pages: 944