
Geometry of Quantum Theory
Volume 1
V.S. Varadarajan(Author)
Springer (Publisher)
Published on 15. April 2013
Book
Paperback/Softback
XIV, 193 pages
978-1-4615-7708-9 (ISBN)
Description
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 havecome 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.
More details
Edition
Softcover reprint of the original 1st ed. 1968
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XIV, 193 p.
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 12 mm
Weight
309 gr
ISBN-13
978-1-4615-7708-9 (9781461577089)
DOI
10.1007/978-1-4615-7706-5
Schweitzer Classification
Other editions
Additional editions
Book
01/1968
Springer
€85.59
Article exhausted; check different version
Person
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."
Content
One Projective Geometry.- I Boolean Algebras on a Classical Phase Space.- II Projective Geometries.- III Lattice Isomorphisms and Semilinear Transformations.- IV Dualities.- V Coordinatization Of Generalized Geometries.- Two The Logic Of Quantum Mechanics.- VI The Logic Of A Quantum Mechanical System.- VII Logics Associated With Hilbert Spaces.