1. Black Body Radiation Spectral Density Function
Energy emitted per unit volume, in over frequency range dv at v, as a function of temperature.
Ave. energy of an
oscillating dipole
Classical Theory predicts that total energy emitted is infinite above 0 K
Energy is quantized, and proportional to frequency

2. Photoelectric Effect
Classical predictions fail to account for experimental observations
slope=b=h

3. De Broglie Relation Why not for particles? For light
A proton moving at C has wavelength?
~1000 times its radius
A 100 g baseball moving at 10 m/s has wavelength?

4. Diffraction

5. The Double Slit Experiment
A single electron exhibits
interference behaviour ???

6. Emission Spectrum of H
Classical theory predicts that any orbital trajectory
of an electron is unstable as it looses energy
through radiation.

7. Energy Levels and The Boltzmann Distribution
System behaves as having a continuous energy spectrum when DE≤kT
13_01fig_PChem.jpg

8. The Schrödinger Equation
Consider the space p dependent
1st Harmonic
Recall

9. The Schrödinger Equation
Eigen Relationship

10. The Time Dependent Schrödinger Equation
Consider the time dependent part

11. The Time Dependent Schrödinger Equation
Propagates the wave function through time

12. The Time Dependent Schrödinger Equationwt ro wo Re Im
Norm is preserved over time

13. Propagators

14. Propagators
Unitary Transformation

15. Summary

16. Quantum Mechanics for Many Particlesz1 z3 m4 m2 z4 z2
(0,0,0)