Students develop and build a product from A-Z! They work in teams and independently, learn to structure problems, to identify solutions, system analysis and simulations, as well as presentation and documentation techniques. They build the product with access to a machine shop and state of the art engineering tools (Matlab, Simulink, etc).

Many-body quantum physics rests on symmetry considerations that lead to two kinds of particles, fermions and bosons. Formal techniques include Hartree-Fock theory and second-quantization techniques, as well as quantum statistics with ensembles. Few- and many-body systems include atoms, molecules, the Fermi sea, elastic chains, radiation and its interaction with matter, and ideal quantum gases.

General structure of quantum theory: Hilbert spaces, states and observables, equations of motion, Heisenberg uncertainty relation, symmetries, angular momentum addition, EPR paradox, Schrödinger and Heisenberg picture.Applications: simple potentials in wave mechanics, scattering and resonance, harmonic oscillator, hydrogen atom, and perturbation theory.

Many-body quantum physics rests on symmetry considerations that lead to two kinds of particles, fermions and bosons. Formal techniques include Hartree-Fock theory and second-quantization techniques, as well as quantum statistics with ensembles. Few- and many-body systems include atoms, molecules, the Fermi sea, elastic chains, radiation and its interaction with matter, and ideal quantum gases.

This course gives an introduction to the fundamental concepts of Quantum Optics and will highlight state-of-the-art developments in this rapidly evolving discipline. The topics covered include the quantum nature of light, semi-classical and quantum mechanical description of light-matter interaction, laser manipulation of atoms and ions, optomechanics and quantum computation.

Las Vegas & Monte Carlo algorithms; inequalities of Markov, Chebyshev, Chernoff; negative correlation; Markov chains: convergence, rapidly mixing; generating functions; Examples include: min cut, median, balls and bins, routing in hypercubes, 3SAT, card shuffling, random walks

12-week internship intended for exercising (independent) scientific working.

Participation in conferences outside ETH to foster scientific exchange. Participants need to present either a poster or a talk at this occasion.

The Research Project accustoms students to scientific work.

The Research Project accustoms students to scientific work.

Independent scientific practice of 8 weeks which is completed with a written report.

In a research project students extend their knowledge in a particular field, get acquainted with the scientific way of working, and learn to work on an actual research topic. Research projects are carried out in a core or optional subject area as chosen by the student.

In a research project students extend their knowledge in a particular field, get acquainted with the scientific way of working, and learn to work on an actual research topic. Research projects are carried out in a core or elective subject area as chosen by the student.

In a research project students extend their knowledge in a particular field, get acquainted with the scientific way of working, and learn to work on an actual research topic. Research projects are carried out in a core or optional subject area as chosen by the student.Research Project duration: 12 weeks, completed with a written report.

In a research project students extend their knowledge in a particular field, get acquainted with the scientific way of working, and learn to work on an actual research topic. Research projects are carried out in a core or elective subject area as chosen by the student.

In a research project students extend their knowledge in a particular field, get acquainted with the scientific way of working, and learn to work on an actual research topic. Research projects are carried out in a core or optional subject area as chosen by the student.

The ten-weeks (full-time) research project can be done at a research or non-research institution in Switzerland or abroad, but not in a pure industry setting. The project can be done alone or in groups of students, and it is finished with a report and/or prototype.The project must be finished before the start of the Master project.

The fifteen-weeks (full-time) research project can be done at a research or non-research institution in Switzerland or abroad, but not in a pure industry setting. The project can be done alone or in groups of students, and it is finished with a report and/or prototype.The project must be finished before the start of the Master project.

The aim of the long research project is to perform a larger (exploratory) scientific study or a larger development project in a team. It is carried out at ETH Zurich (or at a research or non-research institution in Switzerland or abroad, but *not* in a pure industry setting). The duration of this project is at least 20 weeks (full-time) and it is finished with a report and/or prototype.