Any piece of solid material contains of the order of 10^{23} interacting
particles. The effects from the interaction between this huge number of particles
and how these are treated theoretically is the field of many-particle physics.
The formalism is cumbersome and the course is suited for students with theoretical ability and interest. The time is shared equally between the formalism itself and applications. Both zero-temperature and finite-temperature formalisms are treated.
The concepts of Greenís functions, self-energies and correlation
functions are dealt with and the students are taught to draw and interpret
Feynman diagrams. Examples of applications: the electron gas, exchange- and
correlation- effects, vacuum fluctuations, van der Waals and Casimir forces,
mean-free-path, transport- versus life-time, the polaron, band-gap renormalization
in bulk semiconductors and in quantum wells, current drag.
We find in the course that the dielectric function is a very important quantity
and determines many of the properties of the systems. Another course, TFYY70
Fundamentals of Surface
Modes, is strongly recommended. It covers a variety of
effects resulting from Maxwell's equations and the dielectric function..
Several of the results we derive in the many-particle course we may derive
here in a much simpler way. Many of these effects appear in our every day
life and many are utilized in several different branches of industry and
in modern research. They are important on the border line between physics
and biology, chemistry and medicine. Some key words: surface energy, surface
tension, van der Waals force, Casimir force, vacuum fluctuations.
Introduction | Homework Problems |
Chap. 1 | Formulas |
Chap. 2 | |
Chap. 3 | |
Chap. 4 | |
Chap. 5 | |
Chap. 6 | |
References |
Bo E. Sernelius, examiner
Room: G408
Phone: (+46) (0)13 28724
Fax: (+46) (0)13 137568
Email:
Fö. 1 | 03-11-14 at 9.15 in Mott, Introduction |
Fö. 2 | 03-11-21, Harmonic Oscillator and Phonons |
Fö. 3 | 03-11-28, Second Quantization for Particles |
Fö. 4 | 03-12-05, A Hamiltonian |
Fö. 5 | 03-12-12, A Hamiltonian, Continuation |
Christmas Break | |
Fö. 6 | 04-01-30, Green's Functions at Zero Temperature |
Fö. 7 | 04-02-06, Wick's Theorem |
Fö. 8 | 04-02-13, Feynman Diagrams |
Fö. 9 | 04-02-20, Feynman Diagrams, Continuation |
Fö. 10 | 04-02-27, Green's Functions at Finite Temperature |
Fö. 11 | 04-03-05, Dyson's Equations |
Fö. 12 | 04-03-12, Rules for Constructing Feynman Diagrams, The Thermodynamic Potential |
Fö. 13 | 04-03-19, Oral Presentations |
PART II | |
Fö. 14 | 04-03-26, The Electron Gas |
Fö. 15 | 04-04-02, Model Dielectric Functions |
Fö. 16 | 04-04-16, The Energy |
Fö. 17 | 04-04-23, Shortcut Based on Normal Modes |
Fö. 18 | 04-05-07, Vacuum Fluctuations |
Fö. 19 | 04-05-14, The Selfenergy |
Fö. 20 | 04-05-28, Physical Quantities Based on the Energy or Selfenergy |
Fö. 21 | 04-06-04, Physical Quantities Based on the Energy or Selfenergy, Continuation |
Fö. 22 | 04-06-11, The Current-Current Correlation Function |
Fö. 23 | 04-06-18, The Current-Current Correlation Function, Continuation, END |