QUANTUM MECHANICS I (PHY 511)
Prof. T. Schaefer
Physics 511 (Quantum Mechanics I) is a graduate level course
on Quantum Mechanics. A brief outline is provided below.
- Lecture: TuTh 9:50-11:20
Instructor: T. Schaefer, Office C-135, Phone 632-4489
Office hours: Tu. 11:30-1:00 and by appointment
TA: Zhenguo Wang (firstname.lastname@example.org).
- Homework: Most tuesdays a set of homework problems
will be assigned. (You can also check the website.)
The homework is due tuesday the following week.
- Exams: There will be one midterm exam and a final
on dates to be announced during the lecture.
- Grade: Your final grade will be determined by
weighting the various portions of the course as follows:
Final Exam : 40%
- Textbook: (not required, but strongly recommended)
R. Shankar: Principles of Quantum Mechanics.
Some supplemental material will be handed out in class or posted
on the website.
- L. D. Landau, E. M. Lifshitz, Quantum Mechanics
- J. J. Sakurai, Advanced Quantum Mechanics
- R. P. Feynman, A. R. Hibbs, Quantum Mechanics and Path Integrals
- Recitation meets Monday, 1pm-2pm in S240
- Participation is voluntary
- First Meeting on Tuesday, Sept. 17
- Note: There is no class on Sept. 17
(Correction day, monday schedule)
- Mathematical Methods
Hilbert spaces, linear operators, ...
- Quantum Mechanics: The Postulates
Review of classical mechanics, quantum mechanics: the
postulates, Schroedinger equation, discussion (Measurements, etc.),
- Problems in one Dimension
Free particle, scattering and tunneling, harmonic oscillator
- Path Integrals
Path integral formulation, harmonic oscillator,
numerical methods, Feynman diagrams.
- Symmetries and Angular Momentum
Rotational invariance, the eigenvalue problem for L^2,L_z,
hydrogen Atom, spin, addition of angular momenta.
- Perturbation Theory
Time independent, time dependent perturbation theory,
Feynman diagrams, WKB approximation.
- Computer codes for
simulating euclidean path integrals in quantum mechanics.
Some documentation is included in the fortran codes.
The main code is qm.for which performs a Monte Carlo
simulation of the euclidean path integral for the
potential V(x)=(x^2-f^2)^2. The program qmdiag.for
computes the energy levels and euclidean correlation
functions by diagonalizing the hamiltonian in an
- schrodinger.c is a
c++ Schroedinger equation simulator written for
Xwindows. You can play with the potential and
the initial wave fucntion. Follow the instructions
in the program in order to compile and link.
- Homework assignment 1 [postscript,
- Homework assignment 2 [postscript,
- Homework assignment 3 [postscript,
- Homework assignment 4 [postscript,
- Homework assignment 5 [postscript,
- Homework assignment 6 [postscript,
- Homework assignment 7 [postscript,
- Homework assignment 8 [postscript,
- Homework assignment 9 [postscript,
- Homework assignment 10 [postscript,
- Homework assignment 11 [postscript,
- Homework assignment 12 [postscript,
- Midterm 1: Tuesday, October 15, 9:50-11:10.
The material covered includes the material covered
in class up to 10-3 (Homework assigments 1-5). The
midterm is closed book. A sheet with formulas will
be provided. In particular, you don't need to
memorize factors of (i\hbar).
- Final Exam: Thursday, December 19, 8:00-10:30.
Everything we covered in class is fair game,
excluding angular momentum coupling and degenerate
perturbation theory. The exam is closed book.
Questions? Send email to