### Winter term 2014/2015

The time window for the winter term 2014/2015 is **Oct 13 - Dec 20, 2014 ** and **Jan 5 - Feb 7, 2015**.

The following lectures are offered:

#### General lecture *Chaos and Quantum Chaos*

lecturer: | Prof. R Ketzmerick (Computational Physics, TUD) | |

time: | On Mondays, 13:00-14:30; On Tuesdays, 7:30-9:00 | |

location: | BZW A120, Zellescher Weg 17 | |

content: | Hamiltonian chaos: dynamical systems, KAM-theorem, origin of chaotic dynamics, transport in phase space, quantum signatures of chaos: spectra, eigenstates, semiclassics, Gutzwiller trace formula, random matrix theory, experimental systems. Computer simulations will be used for visualization. |

#### General lecture *Group theory in condensed matter physics*

lecturer: | Dr. P Michetti (Condensed Matter Theory, TUD) | |

time: | On Mondays, 14:50-16:20; On Wednesdays, 13:00-14:30 | |

location: | PHY B 214, Haeckelstr. 3 | |

content: | Basic concepts of group theory, group representations, basis functions. Symmetry in physics. Space inversion and time reversal invariance. Discrete and continuous groups. Some applications to solid state and molecular physics. | |

#### General lecture *Concepts of Molecular Modeling*

lecturers: | Prof. G Cuniberti (Materials Science and Nanotechnology, TUD) Dr. R Gutierrez (Materials Science and Nanotechnology, TUD) | |

time: | Lecture: On Tuesdays, 9.20-10.50; Exercises: On Wednesdays, 13.00-14.30 | |

location: | Lecture: PAU/212/H, Georg-Bähr-Str. 3b Exercises: tba | |

content: | General features of molecular mechanics force fields, Energy minimization and general methods for energy surfaces, Statistical and thermodynamic physical properties: Monte Carlo sampling and molecular dynamics simulations, Computational quantum mechanics, One-electron atoms, Molecular orbitals, Hückel theory, Hartree-Fock equations, DFT, Elements of structure prediction, Car-Parinello-like simulations |

#### General lecture *Chaos in high-dimensional systems*

lecturer: | Dr. A Bäcker (Computational Physics, TUD) | |

time: | On Tuesdays, 13:00-14:30; On Wednesdays, 9:20-10:50 | |

location: | BZW A120, Zellescher Weg 17 | |

content: | Many physical systems of interest have more than two degrees of freedom which can lead to highly complicated dynamical behavior. Examples are the solar system, atoms and molecules or particle accelerators. In this course we give a general introduction to the dynamics of such higher--dimensional systems. Central for the understanding are invariant objects like fixed points, periodic trajectories, invariant tori, and stable and unstable manifolds. So-called non-linear resonances play a crucial role as they are at the heart of the famous Arnold diffusion, which exclusively occurs in higher-dimensional systems. The course will make use of a combination of rigorous mathematical results (including ideas of their proofs), physicists reasoning (aka hand-waving of different severity) and numerical investigations. | |

#### General lecture *Dirichlet forms*

lecturer: | Prof. R Schilling (Dept. of Mathematics, TUD) | |

time: | On Wednesdays, 9:20-10:50; On Fridays, 7:30-9:00 | |

location: | WIL A 120 (Wed.); WIL A 124 (Fr.), Zellescher Weg 12-14 | |

content: |
In this lecture we want to study the boundary behaviour of stochastic (one-dimensional diffusion) processes ('Feller boundary conditions'). Dirichlet forms are an important tool in this connection
and we start with an introduction to Dirichlet forms. Since Dirichlet forms are at the interface between analysis and probability, this lecture should be interesing for both analysts and probabilists. See also lecture homepage here » | |

#### Special lecture *Theory of open quantum systems applied to light harvesting complexes*

lecturer: | Dr. A Eisfeld (MPI-PKS) | |

time: | On Tuesdays, 13:30-15:00 (NOTE: START ON 28.10!) | |

location: | Seminar room 3, MPI-PKS, Nöthnitzer Str. 38 | |

content: | Introduction to natural and artificial light harvesting systems, Introduction to the theory of open quantum systems, Lindblad, Redfield and Nakajima-Zwanzig equations, Non-Markovian environments, Molecular dynamics simulations | |

#### Special lecture *Many-body dynamics in ultracold quantum gases *

lecturer: | Dr. A Eckardt (MPI-PKS)
Dr. M Haque (MPI-PKS) | |

time: | On Tuesdays, 14:50-16:20 | |

location: | SE2/102/U, Zellescher Weg 20 | |

content: | After an introduction to the theory of ultracold atomic quantum systems, we will treat a series of non-equilibrium phenomena that have been observed recently (relaxation to equilibrium, controlling phase transitions by periodic driving, spreading of information, repulsive binding,...). The relevant theoretical concepts and tools will be introduced. | |

#### Special lecture *Stochastic Processes *

lecturer: | Prof. H Kantz (MPI-PKS) | |

time: | On Wednesdays, 14:00-15:30 | |

location: | MPI-PKS, Seminar room 3, Nöthnitzer Str. 38 | |

content: | Stochastic processes comprise a large class of models where uncertainty in the time evolution plays a crucial role. We introduce the basic concepts, present a classification, and will then put the main emphasis on Markov models in discrete and continuous time. The Fokker Planck equation and its relationship to stochastic differential equations will be discussed in detail. Several stochastic problems such as waiting time distributions, hopping rates, and stochastic resonance will be discussed in this framework. | |

#### Special lecture *Applied Bionanotechnology*

lecturer: | Prof. G Cuniberti (Materials Science and Nanotechnology, TUD)
Dr. J Thiele (Materials Science and Nanotechnology, TUD) | |

time: | Lecture: on Thursdays, 14.50-16.20 Exercise: on Thursdays, 16.40-18.10, odd weeks | |

location: | lectures: ZEU/260/H, exercises: ZEU/146/Z, both in Georg-Bähr-Str. 3c | |

content: |
Applications of biomimetical principles for the synthesis of nanostructures
and nanopatterns and the molecular structure of biomaterials. The main topics are: Cellular machines and the engineering approach, DNA based nanotechnology, BioNEMS, Interaction of biomolecules and solid state surfaces, Biotemplating: nanomaterial synthesis based on proteins and DNA, Template development in biological structures, Antibody and aptamere - intelligent nano-building-blocks, Physical principals, Biomolecular sensor technology | |