Dr. Wojciech Dybalski
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Wojciech Dybalski
TUM Junior Fellow
(Emmy-Noether Group Leader)
Zentrum Mathematik, M5
Technische Universität München
Boltzmannstrasse 3
85748 Garching
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Research
- mathematical physics
- scattering theory
- non-relativistic QED
- algebraic quantum field theory
- conformal field theory
- spin systems
Current projects
- Infrared problems: Infraparticle vs infravacuum picture of the electron.
- Soft-photon theorems in various approaches to QED.
- Non-commutative recurrence as a tool in spectral theory.
- General criteria for asymptotic completeness in local relativistic QFT.
- Scattering theory and asymptotic observables for spin-waves.
Awards and Grants
Group
Publications
Organized events
CV
PROFESSIONAL EXPERIENCE
- 2017-present Group Leader (Emmy Noether Program), Technical University of Munich
- 2017-2017 Substitute Professor at the Ludwig-Maximilian-University of Munich
- 2014-2017 Group Leader (Emmy Noether Program), Technical University of Munich
- 2013-2014 Postdoc, ETH Zurich
- 2012-2013 DFG Fellow, University of Paris-Sud
- 2012-2012 Group Leader, HIM Bonn
- 2012-2012 DFG Fellow, University of Paris-Sud
- 2011-2012 Postdoc, University of Aarhus
- 2009-2011 Postdoc, Technical University of Munich
EDUCATION
- 2004-2009 Ph.D. in Physics, University of Göttingen
- 2003-2004 Graduate studies, NRC Ottawa/University of Ottawa
- 1998-2003 M.Sc. in Physics, University of Warsaw
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Full CV
Teaching
Quantum Field Theory (Winter Semester 2017/2018)
Joint course with Prof. M. Beneke.
See the webpage of the course
Mathematik II für Physiker (Summer Semester 2017)
see the LMU webpage 
Algebraic Quantum Field Theory (Summer Semester 2017)
- Special course for M.Sc. and Ph.D. students
- 2+2 hours per week, Monday 12:15-13:45 (Room: Theresienstraße 39, B041), Thursday 16:15-17:45 (Room: Theresienstraße 39, B045)
- First class: Monday 24.04.2017 at 12:15 in B041
- 6 ECTS points.
- Content:
- Algebraic quantum mechanics
- Free field theory and interacting models
- Haag-Kastler postulates of QFT
- Scattering theory
- Theory of superselection sectors
- Slides of the first lecture
- Crash course in functional analysis, version of 04.05.2017
- Lecture notes, version of 18.07.2017
- Homework Sheet 1, Solutions to Homework Sheet 1
- Homework Sheet 2, Solutions to Homework Sheet 2
- Homework Sheet 3, Solutions to Homework Sheet 3
- Homework Sheet 4, Solutions to Homework Sheet 4
- Homework Sheet 5
Non-relativistic QED (Summer Semester 2016)
- The course will be held on Thursdays, 14:15-15:45 in room 03.12.020, at Zentrum Mathematik TUM, Garching.
- Lecture notes, version of 14.07.2016
- Content:
- Quantisation of charged particles interacting with the electromagnetic field.
- Self adjointness of Hamiltonians of non-relativistic QED.
- Energy-momentum operators and their spectrum.
- Scattering states and the infrared problem.
- The problem of asymptotic completeness.
- 2+0 hours per week,
- Intended audience: Master Mathematik, Master Physik, Top-Math, TMP, interested Ph.D. students and postdocs.
- Recommended prerequisites: Basic quantum mechanics, analysis
and linear algebra.
- 3 ECTS, oral examination, typed lecture notes will be provided.
- Recommended reading: H. Spohn: Dynamics of charged particles and their radiation field. Cambridge
University Press, 2004.
Algebraic Quantum Field Theory (Winter Semester 2014)
- Special course for M.Sc. and Ph.D. students
- 2+2 hours per week, Monday 16:15-17:45 (Raum: Schellingstr. 3 (S) Vg. - S 242), Thursday 16:15-17:45 (Raum: Geschw.-Scholl-Pl.1 (B) 006)
ma.tum.de