Titlebook: C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics; An Introduction Jean-Bernard Bru,Walter Alberto de Siqueira Pedr

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Appendix,d Riesz spaces in Sects. 7.2, 7.3, and 7.4, respectively. Finally, crucial phenomenological aspects of thermodynamic equilibrium of infinite systems are derived in Chaps. .–. as simple corollaries of classical (deep) results of convex analysis, which are explained in Sect. 7.5.

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Textbook 2023nd yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equilibrium can be derived as simple corollaries of classical results in convex analysis...Using C*-algebras as examples of ordered vector spaces, this boo

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Kalecki’s Profits Equation after 80 Years studied class of ordered spaces refers to the Riesz spaces, which are presented in the appendix (Sect. .) for completeness. In fact, commutative .-algebras are important examples of this type of ordered space.

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Thermodynamic Equilibrium in Infinite Volume,onvex analysis. In this chapter, we additionally contribute a brief introduction to the mathematical foundations of the Hartree-Fock theory, which is very popular in molecular and condensed matter physics.

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