2. de Broglie wavelength de Broglie argued that there was a wavelength that could be written from

3. Schrödinger equation

6. a 1 a 0 a 2 a0a0 +20-2 1

7. Schrödinger equation

8. Schrödinger equation electron in free space

9. Schrödinger equation

16. element nlms Hydrogen 100+1/2 or -1/2 Helium 100+1/2 & -1/2 Beryllium 200+1/2 & -1/2 Lithium 200+1/2 or -1/2

17. Heisenberg uncertainty principle http://www.aip.org/history/heisenberg/

19. Simple marbles – number of ways of organizing the three balls 123123123123123 12 3

20. Simple marbles – number of ways of organizing 5 balls in 3 pails (microstates) 1234512345 123 45

21. entropy

22. Entropy of five marbles in the three pails – 2 & 1 & 2

23. Two constraints

24. Calculate the dimensions of a rectangular garden that has a hill that is surrounded by a fence of a fixed length c. (Lagrange multiplier)

25. entropy

27. Maxwell Boltzmann distribution

28. Water bag distribution

31. Schrödinger equation

33. 12345 Are there electrons in the state? 12345

34. Fermi-Dirac distribution n j is the number of particles in state j e j is the energy of state j g j is the degeneracy of state j (the number of states with energy e j )  is the chemical potential  B is Boltzmann’s constant T is absolute temperature

35. Fermi-Dirac distribution