Monday and Wednesday, 11:00-12:15, P&A 5
Monday, 17:30-18:45, P&A 184
Professor Akimasa Miyake
office: P&A 25, email: amiyake_at_unm.edu, office hours: Monday 14:00-16:00, otherwise you may arrange a meeting by appointment.
Bibek Pokharel
office: P&A front area, email: bibekpokharel_at_unm.edu, office hours: Thursday 8:45-10:45
L. E. Ballentine, "Quantum Mechanics: A Modern Development," 2nd Edition, World Scientific (required)
This is a graduate core course of quantum mechanics, and continues to PHYC 522 "Graduate Quantum Mechanics II" in Spring 2017. As seen in the syllabus, the basics of quantum mechanics are taught in a self-contained manner at the level more sophisticated than the undergraduate counterpart PHYC 491. The course is suitable for graduate students or students who have learned quantum mechanics once, in order to brush up understanding of quantum theory and to master its mathematical treatments. We adapt modern pedagogy of active learning in classroom.
Its associated problems session PHYC 551 should be registered as well. It is quite important to do exercise, in order to digest notions and methods in quantum mechanics learned in the lectures. Weekly exercises also facilitate preparations for the preliminary exam. The session is used partially to hold mid-term exams. Roughly speaking, the problems of exams and problem sessions will be selected largely from the exercises at the end of chapters in accordance with the progress of lectures, while those of assignments may be drawn from the past preliminary exams.
The final grade will be determined based on performance of exams and assignments (their weights are 80 % and 20 % respectively, for now). Each mid-term exam is arranged after a couple of chapters are completed. That is how you can study rather narrow, clearly-defined selections of materials for every exam, while they are still fresh in your mind. Overall it is expected that your learning is more effective and at the same time the load by the course is less stressful this way.
Dates |
Subjects |
Assignments/Exams |
Aug. 22 Mon |
0. Introduction | no Problem session |
Aug. 24 Wed |
1. Mathematical Prerequisites |
Assignment 1 is posted |
Aug. 29 Mon |
1. Mathematical Prerequisites | Problem 1 (Prob 1.1) |
Aug. 31 Wed |
1. Mathematical Prerequisites | |
Sep. 5 Mon |
Labor day holiday | |
Sep. 7 Wed |
2. Foundation of Quantum Mechanics |
|
Sep. 12 Mon |
2. Foundation of Quantum Mechanics | Problem 2 (Prob 1.2, 1.3, 2.2) Assignment 1 is due |
Sep. 14 Wed |
2. Foundation of Quantum Mechanics | |
Sep. 19 Mon |
2. Foundation of Quantum Mechanics | Problem 3 (Prob 1.4, 1.5, 2.5) |
Sep. 21 Wed |
3. Kinematics and Dynamics |
|
Sep. 26 Mon |
3. Kinematics and Dynamics | Mid-term
exam 1 Assignment 2 is due |
Sep. 28 Wed |
3. Kinematics and Dynamics |
|
Oct. 3 Mon |
3. Kinematics and Dynamics | Problem 4 (commutation
relation (c), Prob 2.8) |
Oct. 5 Wed |
3. Kinematics and Dynamics | |
Oct. 10 Mon |
3. Kinematics and Dynamics |
Problem 5 (commutation relation (f), exponential maps) |
Oct. 12 Wed |
3. Kinematics and Dynamics |
|
Oct. 17 Mon |
3. Kinematics and Dynamics | Problem 6 (Prob 3.3, commutation relation [J, Q]) |
Oct. 19 Wed |
3. Kinematics and Dynamics |
|
Oct. 24 Mon |
4. Coordinate
representation and applications |
Problem 7 (Prob 3.8, 3.4) |
Oct. 26 Wed |
4. Coordinate representation and applications | |
Oct. 31 Mon |
4. Coordinate representation and applications | Problem 8 (commutation
relation [Q^n, P], Ehrenfest relation) Assignment 3 is due |
Nov. 2 Wed |
4. Coordinate representation and applications |
|
Nov. 7 Mon |
4. Coordinate representation and applications | Problem 9 (tunneling
problem in page 112) |
Nov. 9 Wed |
5. Momentum representation and applications | |
Nov. 14 Mon |
5. Momentum representation
and applications |
Mid-term exam 2 |
Nov. 16 Wed |
5. Momentum representation and applications | |
Nov. 21 Mon |
5. Momentum representation and applications | Problem
10 (time evolution of a free particle in page 145) |
Nov. 23 Wed |
6. Harmonic oscillator |
|
Nov. 28 Mon |
6. Harmonic oscillator | Problem 11 (Prob 5.5, 6.1) |
Nov. 30 Wed |
6. Harmonic oscillator | |
Dec. 5 Mon |
6. Harmonic oscillator |
Problem 12 (Prob 6.1) |
Dec. 7 Wed |
6. Harmonic oscillator | |
Dec. 12-15 |
final
week |
Assignment
4 is due Final exam 3 |
Students may study subjects of assignments together, but everyone is expected to prepare his/her original answer sheets.
1. Assignment: reviewing the quantum mechanics preliminary exam Fall 2016, due at 17:30 on September 12 (Mon) [Problems]
2. Assignment, due at 17:00 on September 26 (Mon) [Problems in page 39-40 1.9, 1.12, 1.14, 1.15, 1.16 Solutions]
3. Assignment, due at 17:30 on October 31 (Mon) [Problems 2.9, 3.1, 3.2, 3.6, 3.11 Solutions]
4. Assignment, due at 17:00 on December 12 (Mon) [Problems 4.9, 4.11, 5.3, 5.8, 6.5, 6.7, 6.8 Solutions]
Mid-term exams are usually held during the Monday problems session in a closed-book format. No communication with other students is allowed during the exams.
1. Mid-term exam, 17:00-19:00 on September 26 (Mon) [Materials from Chapter 0 to Chapter 2 Solutions ]
2. Mid-term exam, 17:00-19:00 on November 14 (Mon) [Materials from Chapter 3 to Chapter 4 Section 4.7 Solutions ]
3. Final exam, 10:00-12:00 on December 14 (Wed) at P&A 184 [Materials from Chapter 4 Section 4.8 to Chapter 6 Solutions ]