PH771 (2016, Spring) Course Information

Course Description: Through this course students will learn principles of quantum mechanics; including concepts of quantum state, quantum observable, uncertainty principle, quantum probability, quantum dynamics including path integral approach, and spin. Then, we apply them to various problems such as quantum well, quantum barrier, harmonic oscillators, quantum tunneling, and particles in fields. Students successfully completing this course will develop sufficient theoretical knowledge to investigate simple quantum phenomena.

Learning Objectives:
  • Key experimental observations
  • Hilbert space: Quantum states and observables
  • Interpretation of quantum mechanics, Uncertainty principle
  • Quantum dyanmics: Schödinger equation
  • Quantum dynamics: Heisenberg equation
  • Quantum dynamics: Path integral
  • Symmetry and conservation laws
  • One-dimensional systems: Bound states, Scattering, Tunneling
  • Harmonic oscillators
  • Quantum particles in EM and gravitational fields (gauge symmetry)
  • Spherical systems and angular momentums
  • Spin
  • Addition of angular momentum
  • Hydrogen atom
Day and Time: Tue. & Thu. 3:30PM-4:45PM
Room: TBA
Instructor: Dr. Ryoichi Kawai
phone: (205) 934-3931
skype*: userid = ryoichikawai
* You must send your skype user ID to the instructor by email in advance or your call will be blocked.
Office Hour: Wed. 12:30-1:30pm
Course Website:

Course Schedule
Required Textbook  

Modern Quantum Mechanics (2nd ed)
by J. J. Sakurai and J. Napolitano
Addison-Wesley, 2011
(Other Suggested Books)

Messages from the Instructor
    [01/05] As announced earlier, the class hour has changed. See above for the new class hour.

Several homework problems will be given every week. Homework must be turned in electronically by email.  Allowed formats are LaTeX source, LaTeX dvi,  Acorbat PDF, Maple Document, Mathematica Document.  Scanned image of hand written documents (PDF, 300DPI)

Exam Schedule (Tentative)
  • In-class midterm exam (March 1st)
  • In-class final exam (April 26)
  • Take-home exam I (First week of February)
  • Take-home exam II (First Week of April)

Exams and assignments carry the following maximum possile points. Midterm exams (20 pts. each), Final exam (20 pts.), Take-home exam (20 pts. each), Homework and other assignments (20 pts.). The total maximum possible points is 100. Letter grades are determined by the rule given in the table.
Grade Total Score
A 85 or above
B 75 or above
C 60 or above
F Otherwise