1. Spin
PHY 361

2. Outline introduction to spin magnetic moment Stern–Gerlach experiment
analogy with earth orbital and spin angular momentum
quantum orbital (l,ml) and spin (s,ms) angular momentum
magnetic moment
relation to spin: Bohr magneton B, gyromagnetic ratio gl, gs
dynamics in magnetic fields
interaction energy, precession, deflection force
example: spinning top
Stern–Gerlach experiment
total angular momentum (J,m)
triangle relationship
complete hydrogen wave function
spectroscopic notation
spin–orbit coupling – fine structure
I will start with a brief reminder of where we were last, and explain the different options available for polarizing the beam. Then I will go on and show the progress we have made towards a feasible design of the novel splitter polarizer geometry. We have also done new detailed simulations of the different designs and recalculated the costing of each for comparison. Based on this new information, we have arrived at a choice for the baseline design.

3. Earth–electron analogy
It’s all about spin!
spin always has the same magnitude
integer or half-integer
the electron has nothing to ‘spin’ (it is a point particle)

4. Magnetic moment and precession

5. Stern–Gerlach Experiment

6. Stern–Gerlach Experiment

7. Coupling of angular momentum – example

8. Coupling of angular momentum

9. Spin-orbit interaction – fine structure

10. Fine structure – J splitting

11. Periodic Table
1s2; 2s2 2p6; 3s2 3p6; 4s2 3d10 4p6; 5s2 4d10 5p6; 6s2 4f14 5d10 6p6; 7s2 5f14 6d10 7p6