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In a practice test that I am studying, I am told to find the wave function [tex]\psi_{100} (r,\theta ,\phi)[/tex] for the ground state of the hydrogen atom. This I can do.

Here is the second part of the question:

By direct substitution into the TISE, find the energy eigen value for this state.

Attempt at Solution:

Basically, all you have to do is plug the wave function into the TISE:

[tex]H\psi=E\psi[/tex]

where

[tex]H=-\frac{\hbar^2}{2m}\nabla^2 + V_{hydrogen}[/tex]

In the answer key, I noticed that only the r component of [tex]\nabla[/tex] is considered. Why can the theta and phi terms be ignored?

Any help would be much appreciated. Thanks!

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# Homework Help: Basic Quantum Question

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