Advanced Quantum Mechanics: The Classical-quantum Connection - Couverture rigide

Blumel, Reinhold

 
9781934015520: Advanced Quantum Mechanics: The Classical-quantum Connection
Couverture rigide
ISBN 10 : 1934015520 ISBN 13 : 9781934015520
Editeur : Infinity Science Press, 2010

Synopsis

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, physics, and engineering, this book is attractive 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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, physics, and engineering, this book is attractive 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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Infinity Science Press
Date d'édition
2010
Langue
anglais
ISBN 10 
1934015520
ISBN 13 
9781934015520
Reliure
Relié
Numéro d'édition
1
Nombre de pages
430
Coordonnées du fabricant
non disponible
Personne responsable
non disponible