QM · Ch 4 · Hydrogen 1s most probable r

Physics · Quantum Mechanics · Griffiths Ch 4

Problem

For the hydrogen ground state

\psi_{100}(r,\theta,\phi) = \dfrac{1}{\sqrt{\pi a_0^3}}\,e^{-r/a_0}

, (a) find the most probable value of the radial coordinate

r

and (b) compute

\langle r \rangle