Operator Algebras and Quantum Statistical Mechanics 1: C*- and W*-Algebras. Symmetry Groups. Decomposition of States (Theoretical and Mathematical Physics)
Operator Algebras and Quantum Statistical Mechanics 1: C*- and W*-Algebras. Symmetry Groups. Decomposition of States (Theoretical and Mathematical Physics)
by Ola Bratteli (Author), Derek W. Robinson (Author)
Product Details
- Hardcover: 505 pages
- Publisher: Springer; 2nd ed. 1987. 2nd printing 2002 edition (January 1, 2003)
- Language: English
- ISBN-10: 3540170936
- ISBN-13: 978-3540170938
Book Description
This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors’ approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made.
The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.
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