Green' function methods in condensed matter theory 1102-6`MFG
The first part of the course will be concerned with the formal aspects of the Green's function theory and will concentrate on:
1. - spectral method on quantum mechanics – the meaning of correlation
2. - elements of second quantization: electrons, phonons, and photons in crystal lattice
3. - Green' function on the complex time contour:
a) defininition and interpretation
b) generating function and the variational derivative method
c) Feynman-Keldysh diagrams
d) conserving approximations
The presentation of specific applications of the Green's functions technique to various transport and optical problems
will encompass:
1. - quantum Boltzmann equation
2. - linear response theory
3. - the role of disorder in weak localization
4. - quantum tunneling
5. - light emission in semiconductor lasers
6. - (optional) polariton condensation
Mode
Prerequisites (description)
Learning outcomes
Students should understand the mechanisms an limitations of Green's function methods for description of basic nonequilibrium processes in solid state physics on the level enabling them understanding the current literature in the field.
Assessment criteria
Final written and oral egzam.
Practical placement
none
Bibliography
J.W. Negele, H. Orland, “Quantum Many-Particle Systems”, Westview Press, 1998
A. Zagoskin, ”Quantum theory of many-body systems: techniques and applications”, Springer-Verlag New York, Inc.
G.D. Mahan, “Many-Particle Physics”, 3rd edition, Kluwer Academic/ Plenum Publishers, New York, 2000
A.L. Fetter, J.D. Walecka, “Kwantowa teoria układów wielu cząstek”, PWN 1988
Additional information
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