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Titlebook: Studies in Mathematical Physics; Lectures Presented a A. O. Barut Book 1973 D. Reidel Publishing Company, Dordrecht 1973 Algebra.linear alg

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A Short Survey of Modern Statistical Mechanics,all the material in this vast domain of modern (or what people usually call rigorous) statistical mechanics. Rather, our aim was to give to non-specialist s (by a non-specialist!) a rapid survey as a first contact with this rapidly developing field. We have divided our lectures as follows:
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Lectures on Mathematical Aspects of Phase Transitions,In these lectures I shall discuss a number of questions relating to the phenomenon of phase transitions concentrating mainly on the mathematical aspects and emphasizing some unsolved problems.
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The Mathematical Structure of the BCS-Model and Related Models,In systems with infinitely many degrees of freedom one encounters mathematical problems which one is not used to in elementary quantum mechanics. The BCS model is a non-trivial and not too unrealistic example exhibiting features which are typical for many field theoretic problems. It is characterized by a Hamiltonian for a finite volume.
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978-94-010-2671-0D. Reidel Publishing Company, Dordrecht 1973
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