spatial wave function

spatial wave function (plural spatial wave functions)

1. (physics) A separable wavefunction times ${\displaystyle e^{iEt/\hbar }}$, 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:

     ${\displaystyle \Psi ({\mathbf {r_{1}}},{\mathbf {r_{2}}},t)=\psi ({\mathbf {r_{1}}},{\mathbf {r_{2}}})e^{-iEt/\hbar }}$,

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