Abstract: In the quantum mechanics, the whole characteristic can be reflected well using the operator. Meanwhile, the mechanical properties can be distilled from the wave function by the operator. When solving or inferring the relation of operators, we not only grasp the significance and property of the related operator, but also understand some basic operational methods of operator. This paper introduces several common operational methods of operator in the quantum mechanics through giving examples. Such as the direct, functional, parameter differential, undetermined operator, integral transform, mathematical induction methods and so on.

Key words: operator, wave function, commutation relation, state vector