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S Jun 27, 2022 at 13:26 history suggested Bcpicao CC BY-SA 4.0
Included a useful comprehension word for non native speakers
Jun 27, 2022 at 12:02 review Suggested edits
S Jun 27, 2022 at 13:26
Sep 6, 2016 at 1:05 comment added Max Lein It corresponds to the minimum energy state for this type of trial wave function. The above example is of course inspired by the hydrogen atom where we know that the eigenfunctions are of product form, and that the lowest energy states are purely radial. So for this particular case you can show that you indeed obtain the minimum energy state. Another example you can try is the harmonic oscillator where the potential scales as $\lambda^2$. Also there you see that to minimize the energy, you have to find the optimal point in the tug of war between kinetic and potential energy.
Sep 5, 2016 at 15:03 comment added Toool Thank you for this answer. It does make more sense to me now ! I guess that the optimal λ corresponds to the equilibrium point in the potential energy ?
Sep 5, 2016 at 14:56 vote accept Toool
Sep 5, 2016 at 1:33 history answered Max Lein CC BY-SA 3.0