ABSTRACT
In the first chapter, it was explained that the introductory basics of quantum mechanics arise from the changes from classical mechanics that are brought to an observable level by the smallness of some parameter, such as the size scale. The most important effect is the appearance of operators for dynamical variables, and the noncommuting nature of these operators. We also found a wave function, either in the position or momentum representation, whose squared magnitude is related to the probability of finding the position or momentum of the equivalent particle. The properties of the wave could be expressed as basically arising from a linear differential equation of a diffusive nature. In particular, because any subsequent form for the wave function evolved from a single initial state, the equation can only be of first order in the time derivative (and, hence, diffusive in nature).
