Home Page of Jan Dereziński


Contact

e-mail address: jan.derezinski@fuw.edu.pl DT> phone (office): (+48)(22) 55 32 954
snail-mail: Katedra Metod Matematycznych Fizyki, Wydzial Fizyki, Uniwersytet Warszawski, ul. Pasteura 5,02-093 Warszawa, Polska
office room: 5.54

List of publications


Books

Jan Derezinski and Christian Gerard:
Scattering theory of classical and quantum N-particle systems
Texts and Monographs in Physics, Springer, 1997 (PostScript file) ( PDF file)


Lecture notes



ELEMENTY MATEMATYKI WSPÓŁCZESNEJ 1998-1999
Teoria operatorów liniowych w przestrzeniach Banacha (PostScript file)

ELEMENTY MATEMATYKI WSPÓŁCZESNEJ 1999-2000
Teoria operatorów liniowych w przestrzeniach Hilberta (PostScript file)

ELEMENTS OF CONTEMPORARY MATHEMATICS
Bounded operators (PDF file, version of Jan. 2007)
Unbounded operators (PDF file, lecture course in IHP, Paris, June 2013)
Operators on L^2(R^d) (PDF file, version of Jan. 2007)
General topology (PDF file, version of Jan. 2005)
Measure theory (PDF file, version of Jan. 2006)
C^* algebras (PDF file, version of Jan. 2006)


METODY MATEMATYCZNE FIZYKI. Funkcje analityczne. Funkcja Gamma. (Wersja VI.2012) ( PDF file)
METODY MATEMATYCZNE FIZYKI. Rownania rozniczkowe fizyki matematycznej. (Wersja VI.2012) ( PDF file)
METODY MATEMATYCZNE FIZYKI. Wielomiany ortogonalne. (Wersja VI.2012) ( PDF file)
Bessel Equation ( PDF file)
Introduction to hypergeometric type functions ( PDF file)

Talks

Return to equilibrium of quantum systems
7.Oct.2004. Infeld Colloquium, Institute of Theoretical Physics, Warsaw University, (PostScript file)
Return to equilibrium
26.June.2006. Uniwersytet Wroclawski, Born Symposium (PDF file)
Excitation spectrum of homogeneous Bose gas
January.2007. CIRM, Marseille (modified version, April 2009) (PDF file)
Quadratic Bosonic Hamiltonians and their renormalization
June.2006. OTAMP 2006, Lund (PDF file)
Extended weak coupling limit
March.2008. Lille (PDF file)
Scattering in nonrelativistic quantum field theory
February 2008, Oberwolfach (PDF file)
Scattering at low energies
March 2008, (PDF file)
Homogeneous Schroedinger operators on halfline
July, Lodz, 8th Symposium on Integrable Systems 2015, (PDF file)
On the energy-momentum spectrum of the homogeneous Fermi gas
June 2012, Montreal, CRM (PDF file)
Bogoliubov transformations
August.2012, Cambridge, Newton Institute; September.2012, Djursholm, Mittag-leffler Institute; 10.2012, Vienna, ESI (PDF file)
Symmetries of Hypergeometric Type Equations
May.2015, Warsaw. IMPAN (PDF file)
My observations about how physicists understand and use QED
January.2014, University of Warsaw, Seminar "Exact results in Quantum Theory and Gravitation" (PDF file)
Why is the Weyl quantization the best?
June.2014, Universite de Lorraine, Metz (PDF file)
Excitation spectrum of interacting interacting quantum gases
September.2014, Gakashuin University, Tokyo (PDF file)
Asymptotic completeness of N-body scattering
November.2014, Goettingen (PDF file)
Bogoliubov Hamiltonians
February 2016, Cergy (PDF file)
Propagators on curved spacetimes
May 2016, Stanford (PDF file)
Quadratic Hamiltonians and their renormalization
January 2017, Muenster (PDF file)
Geometric pseudodifferential calculus with applications to QFT on curved spacetimes
April 2018, York (PDF file)
From conformal symmetries to hypergeometric type equations
September 2018, Będlewo (PDF file)
Cochairman of the weekly seminar "Duality Theory", the main colloquium of Dep. Math. Meth. in Phys.
2002-2006, Scientist-in-charge of the Warsaw team

of the IHP network supported by EU

"Analysis and quantum"

Network preprints


Coorganizer of the program in the Erwin Schroedinger Institute in Vienna, Jan.-March 2005

Open Quantum Systems


Studencki Projekt Zespołowy "Reprezentacje Grupy SL(2,R)"


Courses

TEORIA GRUP I i II

Notatki z wykladow.

Cwiczenia z Teorii Grup I 2014/15

MATHEMATICAL INTRODUCTION TO QFT I, Winter Semester 2017/18 Examination Topics

MATHEMATICAL INTRODUCTION TO QFT II, Summer Semester 2017/18 Examination Topics

Supplementary lecture notes.

Quantum fields with classical perturbations

ANALIZA ZESPOLONA I FUNKCJE SPECJALNE I Semestr zimowy 2016-17

Zasady zaliczania

Tematy egzaminacyjne

INTRODUCTION TO QUANTIZATION, Winter semester 2016-17.

Lecture notes.

Examination topics

ANALIZA FUNKCJONALNA I Semestr letni 2016/17.

Kolokwium;

Egzamin z odpowiedziami

Egzamin poprawkowy z odpowiedziami

TEORIA OPERATORÓW Semestr zimowy 2018/19

Ćwiczenia;

MATHEMATICAL TOPICS IN MANY BODY QUANTUM PHYSICS Semestr letni 2016/17.

Lecture notes

Examination topics

ANALIZA ZESPOLONA I FUNKCJE SPECJALNE II Semestr letni 2016-17.

Tematy egzaminacyjne