Geometry of Quantum Theory by Vs Varadarajan

Geometry of Quantum Theory by Vs Varadarajan

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Résumé

It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions.

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Geometry of Quantum Theory by Vs Varadarajan

The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand- ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable. It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions. Over the years, the mathematics of quantum theory has become more abstract and, consequently, simpler. Hilbert spaces have been used from the very beginning and, after Weyl and Wigner, group representations have come in conclusively. Recent discoveries seem to indicate that the role of group representations is destined for further expansion, not to speak of the impact of the theory of several complex variables and function-space analysis. But all of this pertains to the world of interacting subatomic particles; the more modest view of the microscopic world presented in this book requires somewhat less. The reader with a knowledge of abstract integration, Hilbert space theory, and topological groups will find the going easy.
The author writes: Most of my thoughts on quantum theory are in these essays. The last section is on represenation theory. I do not like to call it an epilogue bucause it deals with a large part of what I have done in this area over the years...I have been thinking about a collection like this for many years that will bring together the many lectures I have given in various places.
SKU Non disponible
ISBN 13 9781461577089
ISBN 10 146157708X
Titre Geometry of Quantum Theory
Auteur Vs Varadarajan
État Non disponible
Type de reliure Paperback
Éditeur Springer-Verlag New York Inc.
Année de publication 2013-04-15
Nombre de pages 193
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible