Quantum Field Theory in Condensed Matter 2020/2021 /CourseID:1603

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Detailed information

Most recent entry on 2021-02-07 

Organisational Unit

Friedrich-Alexander-Universität Erlangen-Nürnberg

Recording type

Vorlesungsreihe

Via

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Language

English

Quantum field theory is nowadays the standard formalism underlying methods to tackle quantum many-body systems. This lecture introduces basic concepts of QFT in the context of Condensed Matter physics. With practical applications in focus the lecture aims at the advanced theory student who intends to start or already started research projects in the field. Basic knowledge of quantum mechanics is a prerequisite. Knowledge of advanced QM concepts like second quantization and basic solid state phyics are advantageous but will be repeated (in swift pace) at the beginning of the lecture.

Tentative scope of the lecture (not necessarily complete):

  • Repetition of second quantization 
  • Effective lattice models in Solid State Physics
  • Single particle Green's functions and Self-energies
  • Perturbation Theory (Feynman diagram technique)
  • Linear response theory (Screening)
  • ...

Associated Clips

Episode
Title
Lecturer
Updated
Via
Duration
Media
1
Introduction and motivation
Prof. Dr. Philipp Hansmann
2020-10-31
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00:13:23
2
Second quantization 01
Prof. Dr. Philipp Hansmann
2020-10-31
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00:51:36
3
Second quantization 02
Prof. Dr. Philipp Hansmann
2020-10-31
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00:23:58
4
Operators in second quantization 01
Prof. Dr. Philipp Hansmann
2020-11-03
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00:31:52
5
Operators in second quantization 02
Prof. Dr. Philipp Hansmann
2020-11-03
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00:12:58
6
Operators in second quantization 03
Prof. Dr. Philipp Hansmann
2020-11-03
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00:14:54
7
Application of second quantization: Atomic Terms 01
Prof. Dr. Philipp Hansmann
2020-11-06
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00:26:42
8
Application of second quantization: Atomic Terms 02
Prof. Dr. Philipp Hansmann
2020-11-08
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00:28:08
9
Application of second quantization: Atomic Terms 03
Prof. Dr. Philipp Hansmann
2020-11-08
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00:33:37
10
Application of second quantization: SOC and CF operators
Prof. Dr. Philipp Hansmann
2020-11-15
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00:35:23
11
Solid State Reminder: Bloch's Theorem
Prof. Dr. Philipp Hansmann
2020-11-15
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00:51:15
12
Solid State Reminder: Wannier States
Prof. Dr. Philipp Hansmann
2020-11-15
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00:27:15
13
Solid State Reminder: Lattice models 01
Prof. Dr. Philipp Hansmann
2020-11-17
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00:40:43
14
Solid State Reminder: Lattice models 02
Prof. Dr. Philipp Hansmann
2020-11-17
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01:04:05
15
Green's functions: Motivation and Definition
Prof. Dr. Philipp Hansmann
2020-11-22
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00:42:27
16
The causal, non-interacting, fermionic Greens function at T=0
Prof. Dr. Philipp Hansmann
2020-11-25
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00:30:49
17
The thermal Green's function: Imaginary time and Matsubara Frequencies
Prof. Dr. Philipp Hansmann
2020-11-22
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00:31:26
18
Equation of Motion for the Green's function
Prof. Dr. Philipp Hansmann
2020-11-27
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00:58:25
19
Spectral (Lehmann) representation of the Green's function
Prof. Dr. Philipp Hansmann
2020-11-27
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00:42:40
20
Analytical properties of the Green's functions
Prof. Dr. Philipp Hansmann
2020-12-01
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01:15:01
21
Fermi Liquid Theory: Introduction
Prof. Dr. Philipp Hansmann
2020-12-06
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01:15:36
22
Fermi Liquid Theory: Green's functions
Prof. Dr. Philipp Hansmann
2020-12-13
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00:27:57
23
Fermi Liquid Theory: Self-energies
Prof. Dr. Philipp Hansmann
2020-12-13
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00:29:06
24
Fermi Liquid Theory: Spectral functions
Prof. Dr. Philipp Hansmann
2020-12-13
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00:16:42
25
Perturbation Theory: The perturbative series (a)
Prof. Dr. Philipp Hansmann
2020-12-15
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00:41:09
26
Perturbation Theory: The perturbative series (b)
Prof. Dr. Philipp Hansmann
2020-12-15
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00:46:21
27
Perturbation Theory: Wick's Theorem
Prof. Dr. Philipp Hansmann
2020-12-20
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00:55:58
28
Perturbation Theory: Linked Cluster Theorem
Prof. Dr. Philipp Hansmann
2021-01-10
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00:51:59
29
Perturbation Theory: First Order
Prof. Dr. Philipp Hansmann
2021-01-10
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00:24:04
30
Perturbation Theory: Feynman rules
Prof. Dr. Philipp Hansmann
2021-01-10
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00:55:50
31
Perturbation Theory: Matsubara sums
Prof. Dr. Philipp Hansmann
2021-01-10
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00:23:29
32
Perturbation Theory: Self energy and Dyson equation (a)
Prof. Dr. Philipp Hansmann
2021-01-17
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00:36:57
33
Perturbation Theory: Self energy and Dyson equation (b)
Prof. Dr. Philipp Hansmann
2021-01-17
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00:48:43
34
Linear Response Theory: Introduction
Prof. Dr. Philipp Hansmann
2021-01-24
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00:41:33
35
Linear Response Theory: The Kubo-Nakano formula
Prof. Dr. Philipp Hansmann
2021-01-24
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00:45:40
36
Linear Response Theory: Computation of simple examples on the Matsubara axis
Prof. Dr. Philipp Hansmann
2021-01-26
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00:59:39
37
Linear Response Theory: RPA (the shortcut version)
Prof. Dr. Philipp Hansmann
2021-01-26
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00:23:38
38
Linear Response Theory: Response to an E.M.-field
Prof. Dr. Philipp Hansmann
2021-01-31
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01:11:34
39
Linear Response Theory: Optical conductivity
Prof. Dr. Philipp Hansmann
2021-02-07
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00:59:32

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