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An operator is a rule by means of which is given function is changed into another function.

The measurable quantities like energy, momentum, position etc. are called observable. Each observable has a definite operator associated with it.

Operators Associated with Dynamical Variables

9.7.1 Energy Operator

The Schrodinger equation


informs, that the operator associates with energy E is Hamiltonian H, i.e., Eop or E – H

The time independent form of Eop is