List of publications of Jan Derezinski
- Examples of asymptotically Abelian quantum systems, Lett.Math.Phys.
5, 445 (1981).
-
Boson free fields as a limit of fields of a more general type,
Rep.Math.Phys 21, 405-417 (1985).
-
Existence and analyticity of many body scattering amplitudes at low energies.
Journ.Math.Phys. 28, 1080-8 (1987).
-
Threshold singularities of two-cluster-two-cluster scattering amplitudes
for dilation analytic potentials. Journ. Math.Phys. 29, 1171-3 (1988).
-
Exponential bounds in cones for eigenfunctions of $N$-body Schr\"odinger
operators, Rep.Math.Phys. 24, 219-228 (1986).
-
Exponential bounds in cones for eigenfunctions of $N$-body Schr\"odinger
operators II. Commentationes Mathematicae 30, 269-275 (1991).
-
A new proof of the propagation theorem for $N$-body quantum systems,
Comm.Math.Phys. 122, 203-231 (1989).
-
Criteria for the Kato-smoothness with respect to a dispersive $N$-body
Schr\"odinger operator, Journ. Math. Phys. 31, 842-850 (1990).
-
The Mourre estimate for dispersive $N$-body Schr\"odinger operators,
Trans. of AMS 317, 773-798 (1990).
-
Asymptotic observables in the $N$-body long range quantum scattering,
A. Boutet de Monvel et al. (eds.), Recent Developments in Quantum
Mechanics, 243-255, 1991 Kluwer Academic Publishers.
-
$N$-body observables in a Calkin algebra, Trans. of AMS. 332, 571-582
(1992)
-
Algebraic approach to the $N$-body long range scattering. Rev.Math.Phys. 13,
1-62 (1991).
-
with Ch. G\'erard, A remark on asymptotic
clustering for $N$-particle quantum systems, in: Schr\"odinger Operators,
Proceedings of a Workshop Held at Aarhus, Denmark 1991,
E.Balslev (ed), Lecture notes in Physics vol. 403, Springer 1992.
-
Asymptotic completeness of long-range $N$-body systems. Main
ideas of a proof, in:
Proceedings of a Workshop Held at Aarhus, Denmark 1991,
E.Balslev (ed), Lecture notes in Physics vol. 403, Springer 1992.
-
Large-time behavior of classical $N$-body systems,
Com. Math. Phys. 148, 503-520 (1992).
-
Asymptotic completeness of long-range $N$-body quantum
systems, Ann. of Math. 138, 427-476 (1993).
-
Asymptotic completeness of $N$-body systems, Seminaire Equations aux Deriv\'ees
Partielles no XI (1991-1992), Editions de l'Ecole Polytechnique 1992.
-
Some remarks on the Weyl quantization,
Journ\'ees ``Equations aux derivees partielle''
Saint-Jean-de-Monts 1993.
-
(with C. G\'erard) Scattering theory of classical and quantum N-particle
systems, Texts and Monographs in Physics, Springer, 1997
-
Asymptotic completeness in quantum field theory. A class of Galilei covariant
models, Rev. Math. Phys. 10 (1998) 191-233
ps-file
-
Asymptotic completeness in nonrelativistic quantum field theory. Proc. of the
XXIX Symposium on Mathematical Physics, Toru\'n \ 1996, Rep. Math. Phys. 40
(1997) 465-473
-
(with C. G\'erard) Long-range scattering in the position
representation,
Journ. Math. Phys. 38 (1997) 3925
-
Fermi Golden Rule, Feshbach method and embedded point spectrum, Seminaire
Equations aux Deriv\'ees Partielles, Ecole Polytechnique, Palaiseau 1999
-
(with C. G\'erard) Asymptotic completeness in quantum field theory. Massive
Pauli-Fierz Hamiltonians, Rev. Math. Phys. 11 (1999) 383-450
ps-file
-
(with C. G\'erard) Spectral and scattering theory of spatially cut-off $P(\phi)_2$
Hamiltonians, Comm. Math. Phys. 213 (2000) 39-125
ps-file
-
(with V. Jaksic) Spectral theory of Pauli-Fierz operators,
Journ. Func. Analysis 180 (2001) 241-327 ps-file
-
(with R. Fr\"uboes) Renormalization of Friedrichs Hamiltonians,
Reports on Math. Phys. 50 (2002) 433-438 pdf-file
-
(with V. Jaksic) Return to equilibrium for Pauli-Fierz systems,
Ann. H. Poincar\'e\ 4 (2003) 739-793 ps-file
- (with V. Jaksic and C A. Pillet) Perturbation theory of
$W^*$-dynamics, Liouvilleans and KMS states,
Rev. Math. Phys. 15 (2003) 447-489 ps-file
- Van Hove Hamiltonians---exactly solvable models of the infrared
and ultraviolet problem, Ann. H. Poincar\'e\ 4 (2003) 713-738
ps-file
- (with C. G\'{e}rard)
Scattering theory of infrared divergent Pauli-Fierz Hamiltonians,
Ann. H. Poincar{\'e} 5 (2004) 523-577 ps-file
- (with V. Jaksic) On the nature of Fermi Golden Rule for open
quantum systems, Journ Stat. Phys. 116 (2004) 411-423
ps-file
- (with L. Bruneau)
Pauli-Fierz Hamiltonians defined as quadratic forms, Rep. Math. Phys
54 (2004) 169-199 ps-file
- (with R. Fr\"uboes)
Level Shift Operator and 2nd order perturbation theory,
Journ. Math. Phys 46 (2005) 033512, pdf-file
- (with R. Fr\"uboes)
Stationary van Hove limit,
Journ. Math. Phys 46 (2005) 063511, pdf-file
- (with R. Fr\"uboes)
Fermi Golden Rule and Open Quantum Systems,
in "Open Quantum Systems III. Recent Developments", eds
S. Attal, A. Joye, C.-A. Pillet, Lecture Notes in Mathematics 1882,
Springer, Berlin
Heidelberg 2006
pdf-file
- (with K. Meissner) Massless fields in 1+1 dimension,
in: Mathematical Physics of Quantum Mechanics. Selected and Refereed
Lectures from QMath9, Lecture Notes in Physics 690,
eds J. Asch and A. Joye, Springer, Berlin
Heidelberg 2006
pdf-file
-
(with H. Cornean and P. Zi\'n)
On the infimum of the energy-momentum spectrum of a homogeneous Bose gas,
J. Math. Phys. 50, 062103 (2009) (49 pages)
pdf-file of preprint,
pdf-file of the published version
-
Introduction to Representations
of Canonical Commutation
and Anticommutation Relations,
in ``Large
Coulomb Systems -- QED'', eds J. Derezinski and H. Siedentop, Lecture
Notes in Physics 695, Springer 2006
pdf-file
-
(with
L. Bruneau)
Bogoliubov Hamiltonians and one parameter groups of Bogoliubov transformations,
in Journ. Math. Phys. 48 (2007) 022101
pdf-file
-
(with
E. Skibsted)
Classical scattering at low energies,
Perspectives in Operator Algebras and Mathematical Physics, Theta Series in
Advanced Mathematics no 8 (2008) 51-83
pdf-file
-
(with
E. Skibsted)
Long-range scattering at low energies,
in: "Spectral and Scattering Theory and Related Topics", RIMS publication no 7
(2006) 1004-1008
pdf-file
-
(with
W. de Roeck)
Extended Weak Coupling Limit for Friedrichs Hamiltonians,
Journ. Math. Phys. 48 (2007) 012103
pdf-file
-
(with
W. de Roeck)
Extended Weak Coupling Limit for Pauli-Fierz Hamiltonians,
Comm. Math. Phys. 279 (2008) 1-30
pdf-file
-
Return to
equilibrium for small quantum systems interacting with environment,
Reports on Mathematical Physics 59 (2007) 317-330,
pdf-file
-
(with C. Maes and
W. de Roeck)
Fluctuations of Quantum Currents and Unravelings of Master Equations,
Journal of Statistical Physics 131 (2008) 341-356
pdf-file
-
(with
W. de Roeck)
Reduced and extended weak coupling limit,
Banach Center Publications 78 (2007) 91-119,
pdf-file
-
Quadratic Hamiltonians and their renormalization, in
Methods of Spectral Analysis in Mathematical Physics
Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP)
2006, Lund, Sweden
edited by P.Kurasov, J.Janas, A.Laptev, S.Naboko, and G.Stolz,
Operator Theory: Advances
and Applications, 186 (2008) 89-102
pdf-file
- (with C.A.Pillet) KMS states, to appear in Modern Encyclopedia of
Mathematical Physics
- (with C.A.Pillet) Quantum dynamical systems, to appear in Modern Encyclopedia of
Mathematical Physics
- (with C.A.Pillet) The $C^*$-algebra approach,
to appear in Modern Encyclopedia of
Mathematical Physics
- (with C.A.Pillet) Tomita-Takesaki theory,
to appear in Modern Encyclopedia of
Mathematical Physics
- (with E. Skibsted) Quantum scattering at low energies,
Journal of Functional Analysis 257 (2009) 1828-1920,
pdf-file
- (with E. Skibsted) Scattering at zero energy for
attractive homogeneous
potentials, Annales Henri Poincar\'e 10 (2009) 549-571
pdf-file
- Scattering in quantum field theory, in "Mathematical Horizons
for Quantum Physics", eds H. Araki, B.-G. Englert, L.-C. Kwek and
J. Suzuki, Lecture Notes Series, Inst. for Math. Sci., National
University of Singapore, Vol. 20, 147-179, World Scientific 2010
pdf file
- (with Christian G\'erard)
Positive energy quantization of linear dynamics, in "Noncommutative
Harmonic Analysis with applications to Probability II", M.Bozejko,
A.Krystek and L.Wojakowski, Banach Center Publications vol. 89,
75-104, Inst. of Math., Polish Academy of Sciences, Warszawa 2010
pdf file
- (with Laurent Bruneau and Vladimir Georgescu), Homogeneous Schr\"odinger
operators on half-line, Annales Henri Poincare 12 (2011), 547-590
pdf file
- (with Michal Wrochna),
Exactly solvable Schrodinger operators, Annales Henri Poincare 12
(2011) 397-418
pdf file of a revised version
- (with Marcin Napi\'orkowski and Jan Philip Solovej),
On the minimization of Hamiltonians over pure Gaussian states
pdf file
in "Complex Quantum Systems. Analysis of Large Coulomb Systems",
Vol 24, (2013) Lecture Notes Series, Inst. for
Math. Studies, National University of Singapore
- Open problems about many body Dirac operators,
Bulletin of International Association of Mathematical Physics, Jan. 2012
- (with Krzysztof Meissner and Marcin Napi\'orkowski),
On the energy-momentum spectrum of homogeneous Fermi gas,
Annales
Henri Poincare 14 (2013) 1-36, DOI 10.1007/s00023-012-0185-9
pdf file
- Hypergeometric type functions and their symmetries
pdf file of published version,
pdf file of revised version,
Annales Henri Poincare
15 (2014) 1569-1653
DOI 10.1007/s00023-013-0282-4
- (with C. G\'erard)
Mathematics of Quantization and Quantum Fields,
Cambridge Monographs in Mathematical Physics, Cambridge University
Press 2013
- (with Marcin Napi\'orkowski),
On the excitation spectrum of interacting bosons in the
infinite-volume mean-field limit, Annales Henri Poincare 15 (2014) 2409-2439,
DOI: 10.1007/s00023-013-0302-4
pdf file,
-
Quantum fields with classical perturbations,
Journ. Math. Phys. 55 (2014) 075201
pdf file of revised version
- (with Michal Wrochna),
Continuous and holomorphic functions with values in closed operators,
Journ. Math. Phys. 55 (2014) 083512
pdf file
-
Vector quantum fields, Proceedings of the QMATH12 Conference Mathematical Results in Quantum Mechanics,
eds P.Exner, W.Konig, H.Neidhardt, World Scientific, 2015
pdf file
- (with Marcin Napi\'orkowski),
Erratum to
On the excitation spectrum of interacting bosons in the
infinite-volume mean-field limit, Annales Henri Poincare,
Volume 16, (2015) 1709-1711,
DOI: 10.1007/s00023-013-0302-4
pdf file
- (with Przemyslaw Majewski),
From conformal group to symmetries of hypergeometric type equations,
SIGMA 12 (2016), 108, 69 pages
pdf file of submitted version
pdf file of published version
- (with Serge Richard),
On Schrodinger operators with inverse square potentials on the half-line, Annales Henri Poincare 18 (2017) 869-928,
DOI 10.1007/s00023-016-0520-7
pdf file of submitted version,
pdf file of published version
- Bosonic quadratic Hamiltonians, Journal of Mathematical Physics 58 (2017) 121101; https://doi.org/10.1063/1.5017931,
pdf file of submitted version
pdf file of published version
- (with Daniel Siemssen) Feynman propagators on static spacetimes,
Reviews on Mathematical Physics, 30 (2018)
1850006 (23 pages) DOI: 10.1142/S0129055X1850006X
pdf file
- (with Maciej Karczmarczyk) On the Weyl symbol of the resolvent of the harmonic oscillator,
Communications in Partial Differential Equations, 42:10 (2017)
1537-1548, DOI: 10.1080/03605302.2017.1382518
https://doi.org/10.1080/03605302.2017.1382518
pdf file
- (with Maciej Karczmarczyk) Quantization of Gaussians,
"Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov"
P.Kurasov, A.Laptev, S.Naboko and B.Simon (eds);
Birkh\"auser, series Operator Theory: Advances and Applications
pdf file
- Homogeneous rank one perturbations,
Annales Henri Poincare 18 (2017) 3249-3268,
DOI 10.1007/s00023-017-0585-y,
pdf file
-
Homogeneous rank one perturbations and inverse square potentials,
"Geometric Methods in Physics XXXVI"
Workshop and Summer School, Bialowieza, Poland, 2017
Editors: Kielanowski, Piotr, Odzijewicz, Anatol, Previato, Emma; Birkhauser, 2019
pdf file
-
(with Daniel Siemssen) An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime, Pure and Applied Analysis,
1-2 (2019), 215--261. DOI 10.2140/paa.2019.1.215
pdf file
- (with Serge Richard),
On radial Schrodinger operators with a Coulomb potential, Annales Henri Poincare 19 (2018), 2869-2917, DOI 10.1007/s00023-018-0701-7,
pdf file of submitted version,
pdf file of published version
- Review of
Ludwig Faddeev Memorial Volume, IAMP News Bulletin, January 2019,
pdf file
-
(with Adam Latosinski and Daniel Siemssen) Pseudodifferential Weyl
Calculus on (Pseudo-)Riemannian Manifolds, Annales Henri Poincare,
21 (2020) 1595--1635
pdf file
-
Group-theoretical origin of symmetries of
hypergeometric class equations and
functions, in
Complex differential and difference equations. Proceedings of the school and conference held at Bedlewo, Poland, September 2-15, 2018,
Filipuk, G, Lastra, A; Michalik, S; Takei, Y, Zoladek, H, eds;
De Gruyter Proceedings in Mathematics, Berlin, 2020, http://doi.org/10.1515/9783110611427-001
pdf file of submitted version ,
pdf file of published version
-
(with Vladimir Georgescu) One-dimensional Schr\"odinger operators with complex potentials, Annales Henri Poincare, 21 (2020), 1947--2008
pdf file of the corrected submitted version ,
pdf file of published version
- (with Maciej Karczmarczyk)
Equations of hypergeometric type in the degenerate case,
pdf file
- (with Daniel Siemssen)
An Evolution Equation Approach to Linear Quantum Field Theory,
pdf file in M. Correggi, M. Falconi (eds.), Quantum Mathematics II, Springer INdAM
Series 58, https://doi.org/10.1007/978-981-99-5884-9_2
-
(with Jeremy Faupin, Quang Nhat Nguyen, Serge Richard)
On radial Schr\"odinger operators with a Coulomb potential: General boundary conditions, pdf file of submitted version, pdf file of published version
Advances in Operator Theory 5 (2020) 1132--1192, https://doi.org/10.1007/s43036-020-00082-6
-
(with Galina Filipuk, Artur Ishkhanyan)
On the derivatives of the Heun equation,
pdf file, 10.3103/S1068362320030036
ISSN 1068-3623, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2020, Vol. 55, No. 3, pp. 200-207, Allerton Press, Inc., 2020.
pdf file,
Russian Text, 2020, Izvestiya Natsional'noi Akademii Nauk Armenii, Matematika, No. 3, pp. 21-29.
http://mathematics.asj-oa.am/2719/1/21.pdf,
-
(with Adam Latosinski, Artur Ishkhanyan) From Heun class equations to Painleve equations
pdf file, SIGMA 17 (2021), 056, 59 pages,
DOI 10.3842/SIGMA.2021.056
- (with Oskar Grocholski)
Momentum approach to the $1/r^2$ potential as a toy model of the Wilsonian renormalization
pdf file,
J. Math. Phys. 63, 013504 (2022); https://doi.org/10.1063/5.0057088
- (with Vladimir Georgescu)
On the domains of Bessel operators,
Annales Henri
Poincare
22 (2021), 3291-3309,
https://doi.org/10.1007/s00023-021-01058-9
pdf file
- (with Blazej Ruba)
Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary
dimension, Annales Henri Poincare 25 (2024), 347-424,
pdf file
https://doi.org/10.1007/s00023-022-01221-w
- (with Jeremy Faupin)
Perturbed Bessel operators. Boundary conditions and closed
realizations, Journal of Functional Analysis 284 (2023) 109728, 85 pages
pdf file
https://doi.org/10.1016/j.jfa.2022.109728
- (with Christian Gass and Blazej Ruba) Generalized integrals
of Macdonald and Gegenbauer functions
pdf file
- (with Christian Gass and Blazej Ruba)
Generalized integrals and point interactions,
J. Phys.: Conf. Ser. 2667 012071 (2023)
pdf file
- (with Ben Li and Marcin Napiorkowski) Beliaev damping in Bose gas
pdf file to appear in J. Stat. Phys.
- (with Jinyeop Lee) Exactly solvable Schrödinger operators related to the confluent equation
pdf file
- (with Christian Gass and Joonas Vatto) Confluent functions, Laguerre polynomials
and their (generalized) bilinear integrals
pdf file