1-dimensional bound states and expectation values.

This videos provide a review of 1D quantum bounds states that will be relevant to our study of the hydrogen atom and of the quantum nature of molecules and materials this quarter.

1. Schrodinger equation: Separation of variables.


2. Harmonic Oscillator States and LengthScale.


3. Infinite Square Well States.

4.Calculating Expectation Values.

When you "square" the momentum operator you get the 2nd derivative:
\( - \hbar^2 d^2/dx^2 \)  
For integration, graphing and lots of things, here is a useful site:
http://www.wolframalpha.com/
This site is pretty versatile in interpreting input: