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Quantum Field Theory in Condensed Matter Physics

讲:  李有泉教授

Schedule (place): This course  will be given in 2002.3-6 (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 quantum field theory in modern condensed matter physics. 

     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. Review of quantum mechanics and basic principles of field theory   

         [background resources: 多体理论导引Introduction to Green's function , Green's function theory,  ] 

Ch. 2. Path-integral quantization in condensed matter physics 

       [background resources: 费曼路经积分 导引 more and more]

Ch. 3. Symmetry breaking and phase transition

       [background resources: K-T 相变  more ]

Ch. 4. Simple examples: Coulomb gas and supperfluidity

         [background resources:  supperfluidity(理论, 实验)    玻色爱因斯坦凝聚]

 

 

Ch.5. Superconductivity related problems  

      [background resources:  超导简介  Vortex ]

 

Ch. 6. Quantum Hall liquid  

      [background resources:  量子霍耳效应   more and more ]

 

References: 

<< The Physics of Quantum Fields>> by M. Stone (Springer-Verlag 2000) Ch.12-18

<< Quantum Field Theory in Condensed Matter Physics>> by N. Nagaosa, (Springer-Verlag 1999) 

 <<Quantum Field Theory--from operators to path integrals>> by K. Huang, (John Wiley 1998) Ch.15

 

 
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