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Operator
An operator is a calculation rule by which you can form new objects from mathematical objects.
Explanation
In functional analysis, physics and quantum mechanics, functions and arguments for clarity are often called operators and operands.
Example 1
You write the differential operator with the letter D as
,
,
, ... etc.
which stands for "take the derivative of...", so you get Dx = 1.
Example 2
The Laplace operator of a function describes for three dimensions
Example 3
The Hamilton operator H is used in the Schrödinger equation
Example 4
The energy operator Ê acts on the wave function ψ (r, t) and is written as