Quantum Mechanics (QM) was essentially dealing with systems with a finite number of degrees of freedom. Invented to explain the atomic levels, QM has been able to explain very different phenomena and its level of completeness and consistency. The aim of these lectures is to emphasize those general features of QM which have an interdisciplinary interest and which are strictly related to the foundations of the theory itself. The course was planned to discuss some of those basic features of quantum mechanics of systems with infinite degrees of freedom (QM )like collective phenomena, spontaneous symmetry breaking, etc. that in the author's opinion should be part of the common education of every theoretical physics student.