spatial wave function

English

Noun

spatial wave function (plural spatial wave functions)

  1. (physics) A separable wavefunction times eiEt/ℏ, 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:
      Ψ(𝐫𝟏,𝐫𝟐,t)=ψ(𝐫𝟏,𝐫𝟐)e−iEt/ℏ,
      where the spatial wave function (ψ) satisfies the time-independent Schrödinger equation: ...

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