BMETE15MF50

Tárgy címe: Soktestprobléma 1
Neptun kód: BMETE15MF50
Felelős oktató: Dr. Zaránd Gergely
Felelős tanszék: Elméleti Fizika Tanszék
Képzés: MSc fizikus
Követelmények, Információk

Many Body Physics 1 (2016/17 Spring)

Lecturers:  Balázs Dóra and Gergely Zaránd

Time and location:  M: 14:15-17:00, seminar room of Theoretical Physics Department (F3M01)

Office hours: once in every two weeks, location and time will be specified later

Language of course: English, discussions can be in Hungarian, exams can be taken in Hungarian, too.

Grading:    There are two ways to pass.

Oral exam:      Everyone receives two subjects, from a list of subjects.
List of subjects (will be given later)

Problem solving: You can also obtain a grade through problem solving.
• You shall receive 4 problem sets in course of the semester.
• From each set you must collect at least 10 points to pass, but you cannot collect more than 30 points.
• Grading is then as follows: 2 (>=50 points); 3 (>=60 points); 3 (>=70 points); 4 (>=80 points); 5 (>=90 points).
• You are allowed to discuss with others and ask for help with the lecturers in case you are stuck, but we request independent work. In other words, you can help others and exchange sometimes ideas, but you are NOT allowed to copy.
• Deadlines shall be specified within each set. Delay implies a loss of 2 points/day.

Problem sets:

Set 1: homeworkMBT1-2017-1.pdf

Set 2homework_MBT1_2017_2.pdf

Set 3homeworkMBT1-2017-3.pdf

Set 4homeworkMBT1-2017-4.pdf (Deadline: June 14)

Evaluations: Homework scores  and  grades

Topics:   lecture 1: a recap on second quantization, occupation number basis, mostly for fermions

lecture 2: Green's functions, analytic properties, linear response

lecture 3: theory of STM, non-interacting Green's functions in real and momentum space

lecture 4: QM pictures, time evolution operator, Gell-mann-Low's theorem

Literature:

• R. P Feynman: Statistical Mechanics: A Set Of Lectures (Advanced Book Classics, Perseus Books) [second quantized formalism]
• A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski: Methods of Quantum Field Theory in Statistical Physics (Dover Editions) [For T=0 temperature diagrammatics, see Chapter 2. Concise but elegant ]
• G. D. Mahan: Many-Particle Physics (Plenum Press) [very detailed, thorough, sometimes old-fashioned]
• A. L. Fetter, J. D. Walecka: Quantum Theory of Many-Particle Systems (Dover Books in Physics) [old school but very detailed]
• H. Bruus, K. Flensberg: Many-Body Quantum Theory in Condensed Matter Physics: An Introduction (Oxford Graduate Texts) [a modern account on many-body theory with fresh applications]