1. Principles of Quantum Mechanics P1) Energy is quantized The photoelectric effect Energy quanta E = h  where h = 6.635 10 -34 J-s

2. Principles of Quantum Mechanics P2) Wave particle duality de Broglie relationparticle double slit experimentwave

3. Principles of Quantum Mechanics P3) Uncertainty principle position/momentum energy/time where

4. Principles of Quantum Mechanics Schrodinger’s equation Letting We obtain the time-dependent portion The solution of which is The time-independent portion is

5. Principles of Quantum Mechanics Physical meaning of wave function The probability density function is where is the complex conjugate of  but Since this is a probability density

6. Principles of Quantum Mechanics Application 1Electron in Free Space Assuming V(x) = 0 Solution is Adding in the time dependent portion, and setting B=0 where

7. Principles of Quantum Mechanics Application 2Infinite Potential Well In region II, V = 0, so A solution is where

8. Principles of Quantum Mechanics Application 2Infinite Potential Well (cont.) Applying boundary and normalization conditions where n = 1,2,3…

9. Principles of Quantum Mechanics Application 3Potential Barrier Solutions for three regions where

10. Principles of Quantum Mechanics Application 3Potential Barrier (cont.) Tunneling when E < V 0