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High Quality Content by WIKIPEDIA articles! In physics, an operator is a function acting on the space of physical states. As a result of its application on a physical state, another physical state is obtained, very often along with some extra relevant information. The simplest example of the utility of operators is the study of symmetry. Because of this, they are a very useful tool in classical mechanics. In quantum mechanics, on the other hand, they are an intrinsic part of the formulation of the theory. Once the interest of the operators in classical mechanics has been exposed, it has to be said that it is in quantum mechanics where they reach their full interest. The mathematical description of quantum mechanics is built upon the concept of operator.