Physics 3220 (Fa16)

McIntyre Please read the "prologue" (not the "preface"!) and then Ch 1 up through 1.2 (all) for this week.

Also, see our lecture notes link (every week from here on)!

1. Intro. Stern-Gerlach exp't
2. Stern-Gerlach, spin 1/2, and quantum states (pp. 1-12)
3. More Dirac notation, "kets" and "bra-kets". (pp. 7-17)

TUTORIAL FRIDAY: On spins.
Download the SPINS java app. Java is finicky in many modern browsers - please get it running in advance!

The first preflight is now open (password is 3220) and due the first day of classes! (This week it is totally optional, since it's due so soon.)

Homework #1 : Due Fri Aug 26 start of class (first week!)
It is meant as review 3310 - if anything is unfamiliar, it should give you an idea about where you need to catch up.

Week 2:

Aug 9-Sep 2

McIntyre Finish Ch 1 this week, Ch 2.1.all on Friday
As always, see the lecture notes link (top of this page, or directly from the main website) for my own notes.

1. Kets, normalization and orthogonality. "Postulate 4" (McIntyre pp. 14-22)

2. Matrix notation for spin 1/2(pp. 22-25), and "generalizing" to higher spin.

3. Operators, eigenstates, postulates 2 and 3, finding the Sz matrix, diagonalizing (pp. 34-41)
TUTORIAL #2 FRIDAY: More practice with spins, and operators as matrices.

Preflights open up Friday:
Preflight #1 is due Monday@noon:
The Password is always 3220
(We grade preflights only on participation, not on correctness!) (Part of the preflight is to post a question and a response on piazza)
Homework #2: Due Friday start of class.

Hint for Q6, parts d and e: take a look at the tab "Lectures and Clickers" -> Lecture notes -> "Introduction" pp. 11 and 12

Week 3:

Sep 5-9

(Mon holiday!)

Ch 2.2.all

1. Holiday today!

2. New operators, S in the n-direction, Hermitian operators (pp 41-44)

3. Projection operators, and postulate 5. (pp 44 to 50)

Tutorial Friday - Spin 1/2 mice

Preflight #2 : Due Wed (because of the Mon holiday) at noon! Password is always 3320 this term.

Homework #3

Ch 2.3 to end of Ch 2 this week.

1. Measurements, expectation values, uncertainty, commutation (pp 50-55)

2. Commuting and non-commuting operators, uncertainty principle, the S^2 operator (pp. 56-58)

3. Spin 1 again, more about general QM systems (Finishing Ch 2, to page 63)

Tutorial Friday - Operators, commuting and non-commuting mice.

Preflight #3: (Available Friday Sep 9, due Monday Sep 12@noon)
Password is always 3320

Homework #4
Also, some hints for HW4
(Note: There was a small typo in the sin half-angle formula, fixed now)

Week 5:

Sep 19-23

(1st exam
Thurs Sep 22, 7:30 PM!)

1. Time dependent Schrodinger Equation (pp. 68-70)

2. Stationary states (pp. 70-71) (and some review for the midterm)

3. Spin precession in B-fields, pp. 72-74

We did an in-class activity on this - bring it back Monday to finish it!

(Exam IS THURSDAY, 7:30 -9:30, in MUEN E0046) See the link under "course info"

NO TUTORIAL exam weeks...

Preflight #4 due Mon at noon.

No homework this week, due to the midterm!

No Tutorial session Friday@3. Enjoy your weekend!

Ch 3.2.2 through end of Chapter 3.

1) More on spin precessions. Spin precession (arbitrary B-field), (pp. 75-77)
Finish up in-class activity.

2) Spin precession (arbitrary B-field), the Rabi formula. (p. 78-83)

3) Neutrino oscillations, and brief qualitative coverage of MRI (pp. 83-92). We will not work out the math details.
Tutorial on spins in B fields

Preflight #5: Due Mon at 10 AM.

Homework #5: Due Friday Sep 30

(Free extension to Monday, if you have a test or other major conflict this week)

Ch 4 this week

with a few more "Cat" details here.

1) "Bell's inequalities" and quantum spookiness! (p 97-98)

2) More on the EPR paradox (to p. 101)

3) Wrap up EPR, Schrodinger's Cat (to p. 105) Intro to Ch 5...

Tutorial on EPR and Quantum Cryptography

HW 5 is due MONDAY in class (extension due to possible 3320 exam stress...)

Preflight #6:

Homework #6: Due Friday Here is a supplement with a little more background about neutrinos.

Week 8:

Oct 10-14

Ch. 5.1-5.4 this week

1) Spectroscopy, the classical hamiltonian, wave functions and spatial operators. (pp. 107-112)

2) The connections between spin and spatial wavefunctions- probability, normalization and interpretation (to p 118

3) Infinite wells, pp. 119-127

Tutorial in "Functions as vectors" .
There is also a short "pretest" to start that Tutorial with - feel free to do it ahead of time if you want.

Preflight #7 due Monday

Homework 7 due Friday. Try this link if you want a newer version of the Spins simulator for the last question.

Ch 5.4 to 5.7, and 5.10.1

1) Infinite square well, superposing spatial states. Start the finite well (To page 130)

2) Finite square wells, classical probability interpretation. (to p. 133)

3) Sketching wave functions (to p. 137, and pp. 150-151) , and time dependence (5.7)

In class Tutorial on Sketching. (We will only get started on it - bring it back Monday!)

Friday (after class) tutorial is on Time Dependence of Wave fns.
Here is the sim we use in Tutorial.

Preflight #8: due Monday

Homework 8 due on Friday
TYPO in HW8 Question #5B, thats supposed to be from x=-1 to x=+1.

Finishing Ch 5, starting Ch 6 through 6.3.

1) More sketching (5.10.1 and 3), we will continune with the sketching activity. (Bring it with you, I handed it out Friday)
Time dependence and applications, (5.7 5.8)

2) Wrap up Ch 5, start on Unbound states (6.1)

3) Unbound states, momentum eigenstates, the momentum basis.
Friday Tutorial is on representations and basis.

Preflight #9: Due Mon

Homework 9 Friday

Week 11:

Oct 31-Nov 4

(2nd exam
Wed (note!) Nov 2, 7:30 PM!)

Up to Ch 6.4

1) Fourier transforms and Wavepackets and uncertainty

2) Wavepackets and Heisenberg Uncertainty (and perhaps some exam review questions if we have time. But if not - here they are anyway :-)

NOTE: Exam 2 tonight, Wed

3) Transmission, reflection, scattering
(No Tutorial this week)

Preflight #10 Due Monday
No homework this week due to midterm!

No tutorial this Friday.

Week 12:

Nov 7-11

Ch 6.5, starting Chapter 7 (to 7.3)

1) Scattering, and Tunneling

2) Wrap up tunneling. Intro to angular momentum: Separation of variables.

3) More on separation of variables and return to "angular momentum" story.

Friday: Tutorial on scattering.

Preflight #11: Due Monday. (No more piazza afterwards required. Thanks for participating in that - feel free to keep using it!)

Homework 10. Due Friday (with free extension to Monday Nov 14 if needed)

Ch 7.3 to 7.6

1) Angular momentum, the azimuthal story.

2) Particles on rings

3) Angular momentum, the theta equation (Legendre polynomials) (If time, an in-class activity) And, here is a Mathematica Notebook to visualize spherical harmonics, from Oregon State.

Friday: Tutorial (on angular momentum)

Preflight #12: Monday noon

Homework 11 Friday!

We will wrap up Ch 7 after the break, and get started on Ch 8.

1) Ch 7, Spherical Harmonics

Bring that an in-class activity, we will continue to work on it!

2) More on Spherical harmonics,

3) Radial wave function (leading to Hydrogen spectrum and full hydrogen story next week)

Tutorial on Friday . (On Spherical harmonics and Hydrogen)

Preflight #13 @ 10 AM.

Homework 12 Friday

Ch 8

1) Radial wave function and energy

2) Wrapup hydrogen, the spectrum...

3) Final exam practice test

Tutorial this week is to meet with Jessica. It is optional but encouraged. (If you signed up for 3321 and missed more than a couple of sessions, this would be a good way to make up lost attendance)

Preflight, #14 Monday@10 AM

No new homework this last week.