Contact Information

address

Department of Physics Sharif University of Technology P. O. Box: 11155-9161 Tehran, Iran

e-mail:

vahid AT sharif.ir

Office Tel:

+98 21 66164524

Cell Phone:

+98 912 2972504

Description of the course

    This is a one-semester course on advanced mathematical physics (Winter-Spring semester of 1391-92) taught be me in Sharif University of Technology. It is open to all Phd students from departments of physics and mathematics. (MS and BS students are supposed to consult me before they enroll for this class.) At the end of the course, the student is supposed to be able to master the essentials of modern mathematics used in various fields of research in physics, including high energy physics, condensed matter theory, mathematical physics and quantum information theory. I should stress that while these concepts and techniques are becoming widespread in some fields of theoretical physics, you may or may not need this level and kind of mathematical methods depending on your specifid subject of research.

Prerequisites

    Knowledge of essential mathematics, linear algebra, and group theory and some geometry is useful but not necessary. Our emphasis in the class will be on problem solving so the students are required to stuy a great deal on their own.

Textbook

    example graphic
    Geometry, Topology and Physics, by Mikio Nakahara, Institute of Physics Publishin (IOP), Bristol and Philadelphia.

Contents:

  • Basic notions of topology, homotopy groups, homology groups, differential geometry and manifolds, Riemmanian geometry, differential forms, cohomology groups, complex manifolds, fibre bundles....