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spatial wave function (plural spatial wave functions)

1. (physics) A separable wavefunction times $e^{iEt/\hslash }$, which is thus a function of only space and not time.
   • 2005, David J. Griffiths: Introduction to Quantum Mechanics, 2nd ed. Pearson Education, Inc.

     For time-independent potentials, we obtain a complete set of solutions by separation of variables:

     $\Psi ({𝐫}_{\mathrm{𝟏}},{𝐫}_{\mathrm{𝟐}},t)=\psi ({𝐫}_{\mathrm{𝟏}},{𝐫}_{\mathrm{𝟐}})e^{-iEt/\hslash }$,

     where the spatial wave function ($\psi$) satisfies the time-independent Schrödinger equation: ...

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