Dan Reisenfeld -PHYS 462UG

Dan Reisenfeld - PHYS 462UG


Physics Department home page:
Contact the instructor: dan.reisenfeld@ umontana.edu

Taught Spring Semester - MWF 2:10 pm - Science Complex Room 231

Quantum Mechanics II
3 credits. Offered spring semester. Prerequisites: Phys 461, or consent of instructor.
Topics in advanced quantum mechanics, including perturbation theory, emission and absorption of radiation by atoms, variational method, WKB approximation, and scattering theory. Applications in atomic physics are covered: laser cooling, atom trapping, atomic clocks, Bose-Einstein Condensates.

Notices

Final: Thursday, May 8, 3:20-5:20, Rm 231

You are allowed 3 sheets of 8.5 x 11 paper (presumably two are from the first two exams).

Review Session on Wednesday, May 7 at 1:00, Rm 229

Course Materials

View the 2008 Syllabus.

Reading & Homework Assignments

Note: Homeworks are due on Fridays except where noted.

For every homework problem assigned, an additional 5 points will be awarded for a description of the relevance of the problem to the material being presented. In addition, if it makes sense to, explain the physical meaning of the result. If you are having trouble with this aspect, feel free to come by to discuss it.

In the table below, homework problems are followd by their point value in brackets. If the problem doesn't follow the standard point assignment (10 pts. per problem, unless it is a multi-part problem, in which case 5 pts. per part), then the point assignment is followed by a '*'.

Assignments

Week Reading Due Date Day of Week Reading Assignment Topic Homework for the Week
1 1/21
1/23
1/25
Mon
Wed
Fri
MLK Day: no class
none
6.1.1, 6.1.2
--
Course Introduction
Time Independent 1st Order Perturbation Theory (PT)
none
2 1/28
1/30
2/1
Mon
Wed
Fri
6.1.2
6.1.3
6.2
1st and 2nd order PT
2nd order PT; Stark Effect I
Degenerate PT; Stark Effect II
6.1 [10], 6.5 [(a) 10*, (b) 5]
3 2/4
2/6
2/8
Mon
Wed
Fri
6.3.1
6.3.2
6.4
Stark Effect II
The Real H atom: Fine Structure (double lecture)
The Zeeman Effect
6.9 [20], 6.11 [10], 6.12 [10], 6.14 [15*]
Note on 6.9(b): When asked to expand to 2nd order, for one energy, the answer is already a "power series" to 1st order, so no further expansion needed.
4 2/11
2/13
2/15
Mon
Wed
Fri
no class
no class
2.5


Hyperfine Structure
6.16 [10] You can make use of commutators from Ch. 4,
6.17 [10],
6.21 [10] label each line with the distinct quantum number for that level
5 2/18
2/20
2/22
Mon
Wed
Fri
no class
5.1
none
Presidents' Day
Multi-electronic Atoms (double lecture)
Zeeman Effect Demo
6.23 [15] Despite the **, this isn't hard, just a lot of arithmetic. I suggest you arrange your results in a table. Where the question states (proportional to ...) read (in terms of ...),
5.1a,c (not b) [10], 5.2 [10], 5.4 [10]
6 2/25
2/27
2/29
Mon
Wed
Fri
5.2/exam review
Exam #1
no class
Ground & excited states of Helium
none (but see HW for next friday)
7 3/3
3/5
3/7
Mon
Wed
Fri
finish 5.2
7.1
7.2
Ortho & Para Helium; Periodic Table
Variational Principle
Application to Helium
5.6 [10], 5.12 [10],
5.13 [20] for part (a) he is asking you to compare orthohelium states (as a whole) to parahelium states,
7.1 [10], 7.3[10]
8 3/10
3/12
3/14
Mon
Wed
Fri
9.1.1, 9.1.2
9.1.3
9.2.1, 9.2.2
Time Dependent PT
Sinusoidal Perturbations
Emission and Absorption of Radiation
9.1 [10], 9.4 [10], 9.5 [10]
9 3/17
3/19
3/21
Mon
Wed
Fri
9.2.3
9.3
9.3.3
Fermi's Golden Rule
Einstein A & B coefficents; Selection Rules I
Selection Rules II
9.11 [10], 9.18 [10], 9.11 [5]
10 3/24
3/26
3/28
Mon
Wed
Fri
Spring Break
no class this week


11 3/31
4/2
4/4
Mon
Wed
Fri
none
atom clock handout
line shape handout
Atomic Clocks I
Atomic Clocks II
Line shapes & widths; doppler cooling intro
none
12 4/7
4/9
4/11
Mon
Wed
Fri
Science fair
none
none
--
Doppler Cooling (double class)
Light shifts; Sub-doppler cooling
Homework #8 Handout
Due Friday, Apr 18
13 4/14
4/16
4/18
Mon
Wed
Fri
Exam #2
MOT trap handout
none
--
Magneto-Optical Traps
Bose-Einstein Condensates
Homework #9 Handout
Due Friday, Apr 25
14 4/21
4/23
4/25
Mon
Wed
Fri
11.1.1
11.1,11.2
Finish BEC/Intro to Scattering
Classical & Quantum Scattering; Partial Waves
11.2 [10], 11.6 [10], 11.10 [10], 11.13 [15]
Due Friday, May 2
15 4/28
4/30
5/2
Mon
Wed
Fri
11.3
11.4
11.4
Phase Shift
Born Approximation I
Born Approximation II
Study for the Final!
Homework Solutions

Homework solutions will be posted no later than 1 week after due date.
  • Homework #1 solutions
  • Homework #2 solutions
  • Homework #3 solutions
  • Homework #4 solutions
  • Homework #5 solutions
  • Homework #6 solutions
  • Homework #7 solutions
  • Homework #8 solutions
  • Homework #9 solutions
  • Homework #10 solutions