Titlebook: Symmetry Breaking; Franco Strocchi Book 2021Latest edition The Editor(s) (if applicable) and The Author(s), under exclusive license to Spr

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Stability Under Space Translations. Positive EnergyIn this chapter we discuss the requirements III and IV stated in Chap. .. In the sequel we shall denote by . the Hilbert space sector (HSS) defined by a . satisfying (.), taking always for granted that ..

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Quantum Mechanics. Algebraic Structure and StatesWe briefly review the basic structure of quantum mechanics (QM) with the aim of covering both the case of systems with a finite number of degrees of freedom (ordinary QM) as well as the case of systems with an infinite number of degrees of freedom (briefly .).

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Non-Fock RepresentationsAs anticipated in the previous discussions, the Fock representation is very special to the finite-dimensional case and to free fields. Actually, as a consequence of Proposition ., non-Fock representations are required in order to describe many-particle systems with non-zero density in the thermodynamical limit.

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