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Classical Topology and Quantum States
Contributor(s): Balachandran, Aiyalam P. (Author), Marmo, Giuseppe (Author), Stern, A. (Author)
ISBN: 9810203292     ISBN-13: 9789810203290
Publisher: World Scientific Publishing Company
OUR PRICE:   $102.60  
Product Type: Hardcover - Other Formats
Published: May 1991
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics
- Science | Physics - Mathematical & Computational
Dewey: 514
LCCN: 91010473
Physical Information: 0.98" H x 6.36" W x 8.74" (1.41 lbs) 376 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
This book is an introduction to the role of topology in the quantization of classical systems. It is also an introduction to topological solitons with special emphasis on Skyrmions. As regards the first aspect, several issues of current interest are dealt with at a reasonably elementary level. Examples are principal fibre bundles and their role in quantum physics, the possibility of spinorial quantum states in a Lagrangian theory based on tensorial variables, and multiply connected configuration spaces and associated quantum phenomena like the QCD q angle and exotic statistics. The ideas are also illustrated by simple examples such as the spinning particle, the charge-monopole system and strings in 3+1 dimensions. The application of these ideas to quantum gravity is another subject treated at an introductory level. An attempt has been made in this book to introduce the reader to the significance of topology for many distinct physical systems such as spinning particles, the charge- monopole system, strings, Skyrmions, QCD and gravity. The book is an outgrowth of lectures given by the authors at various institutions and conferences.