Monday and Wednesday, 11:0012:15, P&A 5
Monday, 17:3018:45, P&A 184
Professor Akimasa Miyake
office: P&A 25, email: amiyake_at_unm.edu, office hours: Monday 14:0016:00, otherwise you may arrange a meeting by appointment.
Bibek Pokharel
office: P&A front area, email: bibekpokharel_at_unm.edu, office hours: Thursday 8:4510:45
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 selfcontained 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 midterm 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 midterm exam is arranged after a couple of chapters are completed. That is how you can study rather narrow, clearlydefined 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  Midterm
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 
Midterm 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. 1215 
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 3940 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]
Midterm exams are usually held during the Monday problems session in a closedbook format. No communication with other students is allowed during the exams.
1. Midterm exam, 17:0019:00 on September 26 (Mon) [Materials from Chapter 0 to Chapter 2 Solutions ]
2. Midterm exam, 17:0019:00 on November 14 (Mon) [Materials from Chapter 3 to Chapter 4 Section 4.7 Solutions ]
3. Final exam, 10:0012:00 on December 14 (Wed) at P&A 184 [Materials from Chapter 4 Section 4.8 to Chapter 6 Solutions ]