ABSTRACT

With this second part we shall start more formal developments

that allow us to improve our understanding of quantum theory.

In particular, we shall deal with the two most basic quantum

mechanical observables, position and momentum, which are crucial

for understanding the state and the dynamics of a quantum system.

Different from classical mechanics, quantum mechanics tells us that

it is not possible to measure both of the position and momentum

simultaneously. This is a consequence of the non-commutativity of

these two observables. Moreover, in this chapter we shall learn the

basic formalism of integration and differentiation, a fundamental

mathematical tool if one is really interested in understanding

quantummechanics.