Title: Building a bridge between Classical and Quantum Mechanics,
Abstract: The way Quantum Mechanics (QM) is introduced to people used to Classical
Mechanics (CM) is by a complete change of the general methodology) despite QM
historically stemming from CM as a means to explain experimental results.
Therefore, it is desirable to build a bridge from CM to QM.
This paper presents a generalization of CM to QM. It starts from the
generalization of a point-like object and naturally arrives at the quantum
state vector of quantum systems in the complex valued Hilbert space, its time
evolution and quantum representation of a measurement apparatus of any size.
Each time, when generalization is performed, there is a possibility to develop
new theory giving up most simple generalizations. It is shown that a
measurement apparatus is a special case of a general quantum object. An example
of a measurement apparatus of an intermediate size is considered in the end.