Griffiths Introduction to Elementary Particles · Problem 5.6

The Feynman Calculus — David J. Griffiths

Physics — QFT · hydrogen-ground-state-wave-function

Problem

Use equation (5.28) to obtain the ground-state wave function

\psi_{100}

. Check that it satisfies the Schr\"odinger equation (5.8), with the appropriate energy, and that it is properly normalized. [Answer:

\psi_{100} = (1/\sqrt{\pi a^3})e^{-r/a}

]