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Overview"This book provides a coherent introduction to Gutzwiller's trace formula accessible to well-prepared science, mathematics, and engineering students who have taken introductory courses in linear algebra, classical, and quantum mechanics. In addition to providing an enrichment of the undergraduate curriculum, this book may serve as the primary text for graduate courses on semiclassical methods. Since periodic-orbit expansions may be used to solve all types of wave systems that typically occur in mathematics, phyics, and engineering, this book is attractice for professional scientists and engineers as well. Following a thorough review of elementary concepts in classical and quantum mechanics the reader is introduced to the idea of classical periodic orbits, the foundation of Gutzwiller's approach to quantum spectra. The trace formula itself is derived following an introduction to Feynman's path integrals. Numerous applications, including the exact solutions of ""unsolvable"" one-dimensional quantum problems, illustrate the power of Gutzwiller's method. Worked examples throughout the text illustrate the material and provide immediate ""hands-on"" demonstrations of tools and concepts just learned. Problems at the end of each section invite the reader to consolidate the acquired knowledge." Full Product DetailsAuthor: Reinhold Blumel , Reinhold Blumel , R Bl'umelPublisher: Infinity Science Press Imprint: Infinity Science Press Dimensions: Width: 18.30cm , Height: 2.80cm , Length: 23.10cm Weight: 0.828kg ISBN: 9781934015520ISBN 10: 1934015520 Pages: 430 Publication Date: 01 May 2010 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Out of Print Availability: In Print Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |