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)

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 class equations
September 2018, Będlewo (PDF file)
On some families of exactly solvable Schrodinger operators
May 2019, VaTech (PDF file)
The Feynman propagator on a curved spacetime
July 2019, York/ 2022 Leipzig (PDF file)
On 1-dimensional Schrodinger operators with complex potentials
February 2020, Metz (PDF file)
Homogeneous Schrodinger operators and the Lie algebra sl(2,R)
November 2020, Munich-Aarhus-Santiago (PDF file)
Schrodinger operators with singular boundary conditions
February 2023, Milan (PDF file)
From Heun class to Painleve,
November 2021, Warsaw, Geometric Seminar of IMPAN, (PDF file)
Generalized integrals of Macdonald and Gegenbauer functions
April 2023, 2023 Spring Eastern Virtual Sectional Meeting of AMS (PDF file)
Cochairman of the weekly seminar "Exact Results in Quantum Theory and Gravitation",
Coorganizer of the IAMP seminar on Mathematical Physics in years 2020-2022 ,
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

ALGEBRAIC METHODS IN QUANTUM PHYSICS, Winter Semester 2025/26

Lecture notes
Algebraic Methods in Quantum Physics ( PDF file)


Examination topics ( PDF file)

SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS, Summer Semester 2023/24

Lecture notes
Introduction to special functions ( PDF file)
Introduction to hypergeometric type functions ( PDF file)
Bessel Equation ( PDF file)
Orthogonal polynomials ( PDF file)


Examination topics ( PDF file)

CLIFFORD ALGEBRAS AND FERMIONS, Summer Semester 2022/23

Lecture notes ( PDF file)

Examination topics ( PDF file)

MATHEMATICAL INTRODUCTION TO QFT, Winter Semester 2023/24

Lecture Notes

Examination Topics

TEORIA GRUP I

Notatki z wykladow.

Cwiczenia z Teorii Grup I 2014/15

TEORIA GRUP II

Notatki z wykladow.

Tematy egzaminacyjne

INTRODUCTION TO QUANTIZATION, Winter semester 2023/24.

Lecture notes.

Examination topics 2023/24

Problems I, Summer semester 2020

Problems II, Summer semester 2020

Exam, Summer semester 2020

Problems about inverses

ANALIZA FUNKCJONALNA I Semestr letni 2016/17.

Ćwiczenia---patrz Ćwiczenia do Teorii Operatorów;

Kolokwium;

Egzamin z odpowiedziami

Egzamin poprawkowy z odpowiedziami

TEORIA OPERATORÓW Semestr zimowy 2018/19

Ćwiczenia;

MATHEMATICAL TOPICS IN MANY BODY QUANTUM PHYSICS Semestr zimowy 2018/19.

Lecture notes

Examination topics

Rachunek Prawdopodobieństwa Semestr letni 2021-22.

Notatki z ostatnich wykładów

Cochairman of the weekly seminar "Duality Theory", the main colloquium of Dep. Math. Meth. in Phys.