1) Wave particle duality:
For X ray wavelength 0.1 A, 1 A, 10A, 100 A, calculate X-ray photon energy and mass
For electron with kinetic energy 1 meV, 10 meV, 0.1 eV, 1 eV and 10 eV, calculate de Broglie wavelength
2) An electron in a 1-dim infinite potential well spanning [0, a]
List Schrodinger equation
List boundary condition
Solve for wave function
Solve for energy levels
Solve for momentum
Sketch wave functions
3) Repeat solution for 2-dim case
4) Repeat solution for 3-dim case
5) Estimate the size of a 1 dim quantum well for first excited energy level to be 1 eV
6) Estimate the size of a 3 dim quantum box for first excited energy level to be 1 eV