Graduate Quantum Mechanics

Winter-Spring 2019    Welcome! This is PH6004, a graduate course on Quantum Mechanics.
  1. Textbook: Lectures on Quantum Mechanics, 2nd Edition, Steven Weinberg
  2. Class Venue: S4-621
  3. Class Times: Mondays 10-11:50 am; Wednesdays 9-9:50 am
  4. My Office: S4-718
  5. E-mail: yizen [dot] chu [at] gmail [dot] com
  6. My Office Hours: Mondays 1-2 pm
  7. Graduate Teaching Assistant: Oktavianus Gea
    1. Office: S4-402
    2. E-mail: oktavgea1994 [at] g [dot] ncu [dot] edu [dot] tw
    3. Office Hours: Wednesdays 1-3 pm
- Yi-Zen
  • Disability     If you have a disability that you think I should know about, and if you need special accomodations, please feel free to speak to me after class or e-mail me to set up a meeting.    
  • Academic Integerity     You are encouraged to discuss with your classmates the material covered in class, and even work together on your assignments. However, the work you turn in must be the result of your own effort. If I find that you copied your work from some place else, you will immediately receive zero credit for that particular piece of work. If you plagarized your classmate, your classmate will also receive zero credit for her/his/their work, unless (s)he/they can prove to my satisfaction (s)he/they were unwilling participant(s) of your dishonesty.
Syllabus and Grading Scheme

We will be covering Weinberg's Chapter 4 and beyond. This includes:
  • Spin, Rotation, Wigner-Eckart, Bosons vs Fermions etc.
  • Symmetries & Conservation Laws
  • Approximation Methods, Zeeman & Stark Effects, Berry Phase
  • Open Quantum Systems
  • Path Integrals
  • Scattering, Optical Theorem, "In" and "Out" States
  • Canonical Formalism, Constrained Hamiltonian Systems
  • Quantum theory of electromagnetic radiation
Because I wish to reward hard work during the semester, I will give most weight -- 75% of your total grade -- to the homework you turn in. The final paper will take up the rest of the 25%.

Homework (75%):     I recommend starting your homework as soon as possible -- do not wait until the day before it is due to do it! Note: I will not accept late homework -- just turn in whatever you have done at the time/day it is due.
  1. Due Wednesday 13 March: HW 1
  2. Due Monday 8 April: HW 2.
  3. Due Wednesday April 24: Problems 2.2, 2.3, 2.4, 10.1 through 10.8 of QM Notes.
  4. Due Wednesday May 22: HW 4.
Final (25%) (Due Monday 17 June 2019, 11:59 pm):     Write a 15-20 page paper discussing a topic related to quantum computing. For instance, explain the need for quantum key distribution and contrast it against its classical counterpart(s). What are the schemes available, and their vulnerabilities (if any)? Describe RSA, the public-key encryption method, as well Shor's algorithm; how does the latter render the former potentially un-secure? Or, explain the need for quantum error corrections and provide explicit examples. Or, what is the current experimental status of humanity's attempt to build a quantum computer? Etc. Make sure your paper is readable to a graduate student who knows quantum mechanics but does not know quantum computing.

Writing guidelines for final paper     The paper should be written in English, and the font size should be 12 points. Your writing will be judged firstly by the accuracy, breadth and depth of the content; but also by the clarity of the exposition. Make sure you cite your sources carefully and provide proper credit whenever appropriate. Do not plagiarize! Turn in your papers in PDF format; and e-mail them to both Oktavianus and me.

Additional Material

Linear algebra explained in Dirac bra-ket notation can be found in Chapter 4 of Analytical Methods in Physics.

Additional notes on QM here.

Quantum Mechanics Textbooks
(Book links to amazon.com -- out of convenience; not an endorsement of their business practices.)

Disclaimer

The views and opinions expressed in this page are strictly those of mine (Yi-Zen Chu). The contents of this page have not been reviewed or approved by the National Central University.