Schedule:
Week 1 | Week 2 | Week 3 | Week 4 | Week 5 | Week 6 | Week 7 | Week 8 | |
Monday |   |   | Homework 1 | Homework 2 | Homework 3 | Homework 4 | Homework 5 |   |
Tuesday | ||||||||
Wednesday | ||||||||
Thursday | Tutorial 1 | Tutorial 2 | Tutorial 3 | Tutorial 4 | Tutorial 5 | |||
Friday |
Tutorials this term will be taught by Dr. Oliver Lunt. Homework is always due at 7pm, on Mondays in weeks 3–7
Tutorials always run 2pm-6pm, on the days indicated. From 2pm-4pm, we will have a session with all students, from 4pm-6pm we will run half-hour paired tutorials.Material: Angular momentum and 3D potentials
Reading: Gasiorowicz Ch 7; Shankar Ch 12
Class Question: What defines a set of operators to be angular momentum operators?
Essay: There is no essay this week.
Problem Sheet: problem_sheet_HT1.pdf
Material: The Hydrogen atom, spin
Reading: Gasiorowicz Ch 8, 10; Shankar Ch 13, 14
Class Question: Is spin different from classical rotation of a particle? If so, how? (Continued from essays)
Essay: Discuss the interpretation of spin as intrinsic angular momentum. Is spin different from classical rotation of a particle? If so, how?
Problem Sheet: problem_sheet_HT2.pdf
Material: Addition of angular momenta, two particles
Reading: Gasiorowicz Ch 10-5, 10-A; Shankar Ch 15
Class Question: What are triplet and singlet states?
Essay: Discuss Clebsch-Gordan coefficients giving their physical interpretation.
Problem Sheet: problem_sheet_HT3.pdf
Material: The "real" Hydrogen atom, perturbation theory
Reading: Gasiorowicz Ch 8, 11, 12
Class Question: When does perturbation theory work? Is it ever guaranteed to work?
Essay:Discuss the main physical effects ignored with our earlier treatment of the H-atom and explain qualitatively how they alter the spectrum.
Problem Sheet: problem_sheet_HT4.pdfMaterial: Helium atom and Zeeman effect
Reading: Gasiorowicz Ch 13,14; Shankar 10
Class Question: Which physical effects cause the states of the first excited level in Helium to split?
Essay Question: Essay: Explain how atomic states and emission lines are split in the presence of a static B field.
Problem Sheet: problem_sheet_HT5.pdf
Please submit before Wednesday (Week 0). We will discuss this during the first session in TT.
Material: Exchange symmetry
Reading: Gasiorowicz Ch 13; Shankar 10
Essay: Look up and discuss the spin-statistics theorem. Relate what you find to the statistical physics of identical particles?
Problem Sheet: problem_sheet_HT_vacation.pdf