Correspondence rules

In quantum mechanics, correspondence rules refers to the principle of replacing physical quantities with operators.

Such replacements include energy and momentum, which can be derived informally from taking the time and space derivities of the plane wave function. These show a similarity to the heisenberg uncertainty principle.

Examples of correspondence rules

quantity	operator	See equation
Energy (Hamiltonian)	$i \hbar \frac{\partial}{\partial t}$	Sc
Momentum	$-i \hbar \nabla$	Continuity equation

Correspondence rules

See also