Estimating the Bohr radius from the uncertainty principle

Thread starter drop_out_kid
Start date Apr 13, 2022
Tags

Bohr Bohr radius Principle Radius Uncertainty Uncertainty principle

AI Thread Summary

The discussion revolves around estimating the Bohr radius using the uncertainty principle, with the initial approach involving the momentum equation p=h/r. The poster suggests substituting kinetic and potential energy to derive an energy function E=E(r) and then finding its minimum through differentiation. There is a consensus that the problem is straightforward and does not require excessive rigor, as it relies on approximations and assumptions. The poster seeks confirmation on whether their approach is correct or if any critical elements are overlooked. Overall, the method appears valid for estimating the Bohr radius.

Apr 13, 2022

drop_out_kid

Homework Statement: In the below picture

Relevant Equations: Heisenberg uncertainty i guess

Soo. I think this problem is too direct and easy so I think I got it in wrong way: p=h/r and then plug in the K and V and then we get E=E(r) and get derivative and we have minimum? What do you think? is there sth I am missing?

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Apr 14, 2022

LCSphysicist

It seems fine to me. It is not supposed to be a hard/rigorous problem after all, since you are doing approximation and some assumptions before starting the calculations.

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