Quantum Mechanics for Mathematicians - Couverture rigide

Livre 72 sur 190: Graduate Studies in Mathematics

Takhtajan, Leon A.

 
9780821846308: Quantum Mechanics for Mathematicians
Couverture rigide
ISBN 10 : 0821846302 ISBN 13 : 9780821846308
Editeur : American Mathematical Society, 2008

Synopsis

This book provides a comprehensive treatment of quantum mechanics from a mathematics perspective and is accessible to mathematicians starting with second-year graduate students. It addition to traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin, and it introduces the reader to functional methods in quantum mechanics. This includes the Feynman path integral approach to quantum mechanics, integration in functional spaces, the relation between Feynman and Wiener integrals, Gaussian integration and regularized determinants of differential operators, fermion systems and integration over anticommuting (Grassmann) variables, supersymmetry and localization in loop spaces, and supersymmetric derivation of the Atiyah-Singer formula for the index of the Dirac operator. Prior to this book, mathematicians could find these topics only in physics textbooks and in specialized literature. This book is written in a concise style with careful attention to precise mathematics formulation of methods and results.Numerous problems, from routine to advanced, help the reader to master the subject. In addition to providing a fundamental knowledge of quantum mechanics, this book could also serve as a bridge for studying more advanced topics in quantum physics, among them quantum field theory. Prerequisites include standard first-year graduate courses covering linear and abstract algebra, topology and geometry, and real and complex analysis.

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

À propos de l?auteur

Leon A. Takhtajan, Stony Brook University, Stony Brook, NY, USA

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

Éditeur
American Mathematical Society
Date d'édition
2008
Langue
anglais
ISBN 10 
0821846302
ISBN 13 
9780821846308
Reliure
Relié
Nombre de pages
387
Coordonnées du fabricant
non disponible
Personne responsable
non disponible