Introduction and mathematical backgrounds

Abstract

One of the aims of the present book is to explain the mathematical foundations of Quantum Mechanics, and Quantum Theories in general, in a mathematically rigorous way. That said, this is a treatise on Mathematics (or Mathematical Physics) rather than a text on Quantum Mechanics. Except for a few cases, the physical phenomenology is left in the background, to privilege the theory’s formal and logical aspects. At any rate several examples of the physical formalism are presented, lest one lose touch with the world of physics.