Correspondence rules

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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 correspondance rules

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