Syllabus

Spring 2011

Instructor

• Dr. Branislav K. Nikolic
  • Email: bnikolic@udel.edu
  • Web: http://web.physics.udel.edu/about/directory/faculty/branislav-k-nikolic
  • Phone: (302) 831-2943
  • Fax: (302) 831-1637

Calendar

• Monday and Friday: 9:05AM-9:55AM in 116 Pearson Lab.
• Wednesday: 9:05AM-9:55AM in 111 Sharp Lab.
• Office hours: TuTh 1:00-2:00PM in 234 Sharp Lab, or by appointment (send me an email).
• Classes start on Tuesday, February 8 and terminate on Tuesday, May 17.
• Breaks:
  • Spring recess, March 24-April 1.
  • Instructor's travel schedule:

Course Objectives

• To encourage students to "discover" physics in a way how physicists learn by doing research.
• To open a gateway for a deeper understanding of the physics learned in other courses.
• To introduce numerical methods and new areas of physics that can be studied using them.
• To show how physics can be applied in a much broader context than discussed in traditional curriculum.
• To introduce students to the frontiers of high performance scientific computing.

Course Topics

• Computation in Classical Physics: projectile motion, physics of baseball, oscillations, chaos in non-linear equations, 2-, 3-and n-body dynamics, vibrations in glasses.
• Computation in Quantum Physics: Schrödinger equation (time-independent and time dependent), variational methods, spectral methods.
• Competition in Statistical Mechanics: random systems. random walks and diffusion, Monte-Carlo techniques, percolation, Ising model, phase transitions.
• Complexity: cellular automata, self-organized criticality, Fractals, protein folding, neural networks (spin glasses), genetic algorithms.

Requirements

This is a Research project based course: There are no weekly homeworks and no midterm or final exams. Projects will be announced on Mondays on the Research Project section of this Web site, and final Report (written in the form emulating a scientific paper - see guidelines for more information) is due after 14 days on Mondays at midnight. The Report should be submitted by email (bnikolic at udel.edu) as two files: (i) PDF file of the Report itself + (ii) ASCII source code of your program. The files must be labeled as follows (substitute with pertinent file extension if you are sending something else than Matlab m-file as your code):

project<no>_<your_last_name>.pdf project<no>_code_<your_last_name>.m The report should start with a clear front page containing information akin to journal publications (see a real life example ): project title, your name, the address of the Department you are affiliated with, abstract explaining succinctly the aim of the project, results, and conclusion. In order to meet standards of research articles in a typical Physics Journal, it is mandatory for PHYS660 students to use LaTeX (to facilitate meeting this demand use REVTeX4 course template) and highly recommended for PHYS460 students.

In Project 5, which deals with quite demanding real time Quantum Tunneling problems, research teams will be established (consisting of an undergraduate and a graduate student) to collaborate on the problem. Each team will present a poster during a Poster Session which will also include peer reviewing.

Grading

• The final score will be determined as a weighted average of different class activities listed above using the following formula:
  • Homework - 50%,
  • Quiz - 10 %,
  • Midterm and final exam - 40%.

• Here is a guideline for your final letter grade, as a percentage of the total number of points:
  • 86-100, some type of A,
  • 73-85, some type of B,
  • 61-72 some type of C,
  • 51-60 some type of D,
  • 50 and below is F.

These numbers may be lowered, depending upon numerous factors, but will not be raised (i.e., if you have an 86 average you are assured of at least an A-). The course grades are not curved.

• Grading of overdue homework: Homeworks submitted after the deadline will incur a penalty 5 points for each 24 hour period. After eight days, the maximum possible grade is set at 60 points.

Study Guides

• Main textbooks:
  • W. Greiner, L. Neise, and H. Stöcker, Thermodynamics and Statistical Mechanics (Springer, Berlin, 1995). NOTE: The textbook covers first part of the course focused on density matrix, equilibrium quantum partition function, and noninteracting bosons and fermions.
  • M. Plischke and B. Bergersen, Equilibrium statistical physics (World Scientific, Singapore, 2006). NOTE: The textbook covers second half of the course focused on phase transitions, renormalization group, nonequilibrium systems in the linear response limit and many-body quantum systems.

• Supplementary textbooks:
  • H. Gould and J. Tobochnik, Statistical and thermal physics: With computer applications (Princeton University Press, Princeton, 2010). Available online at STP Project. NOTE: Excellent introductory (undergraduate level) textbook covering thermodynamics, classical and quantum statistical mechanics, and introduction to phase transitions and renormalization group.

• Problems & solutions:
  • M. Plischke and B. Bergersen, Equilibrium statistical physics: Solutions manual (World Scientific, Singapore, 1994).
  • R. Kubo, Statistical mechanics an advanced course with problems and solutions (Elsevier, Amsterdam, 1992).

• Journal resources: Selected articles from American Journal of Physics (see also Lectures).