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 15:0017:00, otherwise you may arrange a meeting by appointment.
Keith Sanders
office: P&A 30, email: sanderss_at_unm.edu, office hours: Tuesday 14:0016:00.
L. E. Ballentine, "Quantum Mechanics: A Modern Development," World Scientific (required)
This is a graduate core course of quantum mechanics, and continues to PHYC 522 "Graduate Quantum Mechanics II" in Spring 2016. 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 for midterm exams.
The final grade will be determined based on performance of exams and assignments (their weights are 90 % and 10 % respectively, for now). Their problems will be largely selected from the problems found at the end of chapters. 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. 17 Mon 
Course overview 
No problem session 
Aug. 19 Wed 
1. Mathematical Prerequisites 

Aug. 24 Mon 
1. Mathematical Prerequisites  Problem session 1 
Aug. 26 Wed 
1. Mathematical Prerequisites  
Aug. 31 Mon 
1. Mathematical Prerequisites  Problem session 2 
Sep. 2 Wed 
2. Formulations of Quantum Mechanics  
Sep. 7 Mon 
Labor day holiday  
Sep. 9 Wed 
2. Formulations of Quantum Mechanics 

Sep. 14 Mon 
2. Formulations of Quantum Mechanics 
Problem session 3 
Sep. 16 Wed 
2. Formulations of Quantum Mechanics  
Sep. 21 Mon 
3. Kinematics and Dynamics  Problem session 4 
Sep. 23 Wed 
3. Kinematics and Dynamics 

Sep. 28 Mon 
3. Kinematics and Dynamics  Problem session 5 
Sep. 30 Wed 
3. Kinematics and Dynamics  
Oct. 5 Mon 
3. Kinematics and Dynamics 
Problem session 6 
Oct. 7 Wed 
3. Kinematics and Dynamics 

Oct. 12 Mon 
3. Kinematics and Dynamics  Problem session 7 
Oct. 14 Wed 
Midterm exam 1 

Oct. 19 Mon 
3. Kinematics and Dynamics  Problem session 8 
Oct. 21 Wed 
4. Coordinate
Representation 

Oct. 26 Mon 
4. Coordinate Representation  Problem session 9 
Oct. 28 Wed 
4. Coordinate Representation 

Nov. 2 Mon 
4. Momentum Representation 
Problem session 10 
Nov. 4 Wed 
4. Momentum Representation  
Nov. 9 Mon 
5. Momentum Representation 
Assignment 1 is posted Problem session 11 
Nov. 11 Wed 
5. Momentum Representation  
Nov. 16 Mon 
5. Momentum Representation  Problem session 12 
Nov. 18 Wed 
6. Harmonic Oscillator 

Nov. 23 Mon 
6. Harmonic Oscillator  Assignment
1 is due Problem session 13 
Nov. 25 Wed 
6. Harmonic Oscillator  
Nov. 30 Mon 
No
lecture 
Problem session 14 
Dec. 2 Wed 
6. Harmonic Oscillator  
Dec. 9 Wed, 10 am 12 pm 
Midterm
exam 2 
Assignment 2 is due 
Students may study subjects of assignments together, but everyone is expected to prepare his/her original answer sheets.
1. Problem sessions 16 [Problems and Solutions]
2. Assignment due on November 23 [Problems of previous preliminary exams : L1 of 2005Fa, P1 of 2007Sp, P1 of 2009Sp, P2 of 2011Sp, P5 of 2011Sp, P6 of 2012Sp Solutions]
3. Assignment due 12:00 pm on December 9 [Problems of previous preliminary exams : L2 of 2005Fa, P4 of 2008Fa, P4 of 2011Fa, P6 of 2012Fa Solutions]
4. Problem sessions 714 [Problems and 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, 11:0013:00 on October 14 (Wed) [Materials from Chapter 0 to Chapter 3 Section 3.4 Solutions ]
2. Midterm exam 10:0012:00 on December 9 (Wed) [Materials from Chapter 3 Section 3.5 to Chapter 6 Solutions]