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Here's the research that I've done:

  • The Schrödinger equation: $$i\hbar\frac{\partial}{\partial t}|\psi(t)\rangle=\hat{H}|\psi(t)\rangle$$ Ok, it evolves as a function of time. That tells us something.

  • An image containing (possibly) 2-D slices of the atomic orbitals of the hydrogen atom:
    enter image description here
    (image from Wikimedia: Hydrogen density plots)
    And I don't see a time variable in the equation above.

How fast (in seconds) does an orbital transfer from one configuration to another configuration?

Thomas Fritsch
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Armend Veseli
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    It depends on the atom, on the orbital, and on the process causing the transfer. I suggest asking a more precise question. – Roger V. Dec 29 '21 at 16:50
  • Related: https://physics.stackexchange.com/q/488527/123208 – PM 2Ring Dec 29 '21 at 17:04
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    The formula for $\psi$ in the image deliberately omits the factor $e^{-iE_nt/\hbar}$. This factor doesn't matter when calculating $|\psi|^2$ for the density plots. – Thomas Fritsch Dec 29 '21 at 19:08

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