Non-perturbation methods to the Strongly Correlated Systems

主讲:  李有泉教授

Schedule (place): This course  will be given in 2002.9-2003.1 （ZIMP Seminar Room)  for graduate students.

      This course is to provide for advanced graduate students who already  familiar with current topics in modern condensed matter physics and have  basic knowledge of quantum field theory  The teacher will attempt to introduce the students various approaches and treatments concerning to the applications of low dimensional quantum field theory in modern condensed matter physics, particularly, the strongly correlated systems. 

       The main purpose of this course  not only address the physical pictures/motivations of each sub-topics but also focus on the training of mathematical techniques to solve those problems.

 Tentative contents

 Ch.1 One-dimensional quantum spin chain

 Ch.2 Quantum field theory in 1+1 dimension 

 Ch.3 Strongly correlated electronic systems

Ch.4 Local electron correlation

Ch.5 Gauge theory of strongly correlated electron systems.

Reference Books:  

<<Quantum Field Theory in Strongly Correlated Electronic Systems>> by N. Nagaosa (Springer-Verlag 1999)

 <<Bosonization and Strongly Correlated Systems>> by A. Gogolin, A. Nersesyan and A. Tsvelik (Cambridge 1998)

 <<Field Theory of Condensed Matter Physics>> by E. Fradkin, (Addison-Wesley 1991)