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nils-uni@bluemer.name
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Prof. Dr. Nils Blümer |

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Attention: these pages are mostly outdated! For current information on Nils Blümer, see web pages at the KU.
Numerical methods for correlated electron systems
Vorlesung im Wintersemester 2014
N. Blümer, M. Rizzi
Formalia
Stundenzahl: 2 V
Zeit und Ort: Mo 10-12 Uhr im Galilei-Raum
Zielgruppe: Studierende ab 9. Semester, Doktoranden, Kollegen
Sprechstunde: nach der Vorlesung und nach Vereinbarung
Lecture contents
The lecture is given in english.
Overview
- Monte Carlo (MC) simulations (classical)
- Analysis of time series
- Introduction to Hubbard model (fermionic)
- Density matrix renormalization group (DMRG)
- Dynamical mean-field theory (DMFT)
- Quantum Monte Carlo (QMC) algorithms
- Computation of Spectra
- (advanced topics: bosons? TNS?)
Lecture notes
03.11.14 |
Lecture 1
- Overview
- Chapter 1: Monte Carlo simulations (classical):
- 1.1 Intro: "simulations" of classical systems: comparison molecular dynamics (MD) vs. Monte Carlo (MC)
- 1.2 Monte Carlo method: motivation: computation of high-dimensional integrals - problems of deterministic approach (discretization)
- 1.3 Simple Monte Carlo (no importance sampling)
- 1.4 Monte Carlo with importance sampling
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10.11.14 |
Lecture 2
- 1.5 Markov chain Monte Carlo
- ...
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24.11.14 |
Lecture 3
- Chapter 2: Analysis of time series
- Data analysis: analyse the following sample data (solutions: comp-sim_hw2.pdf)
- set 1 (10, 100, 1000, 10000 numbers)
- set 2 (10, 100, 1000, 10000 numbers)
- set 3 (10, 100, 1000, 10000 numbers)
- set 4 (10, 100, 1000, 10000 numbers)
- set 5 (10, 100, 1000, 10000 numbers)
- set 6 (10, 100, 1000, 10000 numbers)
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