# Lectures

The first part, the introductory level, shall cover the basic knowledge of quantum dynamics with emphasis placed on conceptual and technical issues. Each class is offered once a year with a rather fixed content as indicated. Those classes are mostly addressed to students with either “Vordiplom” or Bachelor and in optional cases with Master or “Diplom” (especially, when it comes to a thesis in a different field than their PhD project). In particular, the classes are intended to prepare prospective PhD students for their projects at the IMPRS-QD and should thus be of interest for those who wish or need to obtain the necessary background.

The advanced level classes are addressed mainly to PhD students. They are offered every year (two every term). Depending on the needs of the students, the classes may also focus on particular issues given in the subtitles. They may be offered in blocks if wished by the students or lecturers while keeping the material and complete lecturing time of a two-hour class during the term. Every student may be asked to indicate the area of two advanced classes as possible extra topics at the PhD examination.

# Introductory Level (IL)

**Winter Term: **

IL I: **Structure and Dynamics of Atoms and Molecules**

[Hydrogen atom and hydrogenlike ions: review of one-electron atoms, relativistic and radiative corrections, precision measurements on one-electron systems and atomic particles, features of two- and many-electron atomic systems, electronic structure and binding of molecules, atoms and molecules in external fields, intense laser-matter interaction, interaction with radiation, atomic collisions, molecular vibrations and rotations, autoionization and predissociation]

IL II: **Experimental Methods in Quantum Science**

[Experimental preparation of atoms, molecules and clusters (molecular beams), detection of single atomic particles, sources of electromagnetic radiation (radiofrequency, laser, synchrotron radiation and free electron laser), laser and radiofrequency spectroscopy, application in analytic methods, molecular spectroscopy: Raman techniques, nuclear magnetic resonance, femtosecond spectroscopy, ion mass spectrometry, ion traps and ion storage, translational cooling, manipulation of neutral atoms and molecules: laser cooling & atom traps]

**Summer Term**:

IL III: **Quantum Dynamics in Complex Systems**

[Structually disordered systems, spin glasses, neuronal networks, entropy driven systems in physical chemistry and biology, quantum fluids and solids, correlated electron dynamics, quantum dynamics beyond mean-field, Bose Einstein condensation, complex systems such as molecules, clusters and solids in external fields]

IL IV: **Quantum Optics and Photonics**

[Theoretical basics to laser-matter interaction, quantum information theory: control / processing / communication, quantum coherences and interferences, decoherences and circumventing / suppression schemes, basics to quantum electronics, multiphoton and relativistic quantum optics]

# Advanced Level (AL)

AL I: **Advanced Quantum Chemistry**

[Molecular structure theory, advanced dynamics of complex systems, ultra-short quantum dynamics with and without laser fields, electron correlations, computational methods of molecular dynamics]

AL II: **Quantum Dynamics in Biological Systems**

[Nuclear spin paramagnetism, nuclear magnetic resonance (NMR), electron paramagnetic resonance (EPR), macromolecular analysis, high-resolution NMR spectroscopy of living tissue, residual dipolar couplings in tissue water and metabolites, multi-quantum coherences, NMR imaging, towards quantum biochemistry, theoretical techniques in modelling of biological systems]

AL III: **Advanced Quantum Theory**

[Quantum electrodynamics (including experimentally relevant schemes), relativistic quantum dynamics, advanced quantum optics, many-particle theories, scattering and time-dependant perturbation theory, field theoretic methods]

AL IV: **Quantum Matter and Quantum Engineering**

[Advanced trap and storage ring dynamics, Bose-Einstein condensation, mesoscopic physics, advanced quantum information (processing / communication & electronics), quantum simulations]