List of publications of Jan Derezinski

  1. Examples of asymptotically Abelian quantum systems, Lett.Math.Phys. 5, 445 (1981).
  2. Boson free fields as a limit of fields of a more general type, Rep.Math.Phys 21, 405-417 (1985).
  3. Existence and analyticity of many body scattering amplitudes at low energies. Journ.Math.Phys. 28, 1080-8 (1987).
  4. Threshold singularities of two-cluster-two-cluster scattering amplitudes for dilation analytic potentials. Journ. Math.Phys. 29, 1171-3 (1988).
  5. Exponential bounds in cones for eigenfunctions of $N$-body Schr\"odinger operators, Rep.Math.Phys. 24, 219-228 (1986).
  6. Exponential bounds in cones for eigenfunctions of $N$-body Schr\"odinger operators II. Commentationes Mathematicae 30, 269-275 (1991).
  7. A new proof of the propagation theorem for $N$-body quantum systems, Comm.Math.Phys. 122, 203-231 (1989).
  8. Criteria for the Kato-smoothness with respect to a dispersive $N$-body Schr\"odinger operator, Journ. Math. Phys. 31, 842-850 (1990).
  9. The Mourre estimate for dispersive $N$-body Schr\"odinger operators, Trans. of AMS 317, 773-798 (1990).
  10. 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.
  11. $N$-body observables in a Calkin algebra, Trans. of AMS. 332, 571-582 (1992)
  12. Algebraic approach to the $N$-body long range scattering. Rev.Math.Phys. 13, 1-62 (1991).
  13. 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.
  14. 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.
  15. Large-time behavior of classical $N$-body systems, Com. Math. Phys. 148, 503-520 (1992).
  16. Asymptotic completeness of long-range $N$-body quantum systems, Ann. of Math. 138, 427-476 (1993).
  17. Asymptotic completeness of $N$-body systems, Seminaire Equations aux Deriv\'ees Partielles no XI (1991-1992), Editions de l'Ecole Polytechnique 1992.
  18. Some remarks on the Weyl quantization, Journ\'ees ``Equations aux derivees partielle'' Saint-Jean-de-Monts 1993.
  19. (with C. G\'erard) Scattering theory of classical and quantum N-particle systems, Texts and Monographs in Physics, Springer, 1997
  20. Asymptotic completeness in quantum field theory. A class of Galilei covariant models, Rev. Math. Phys. 10 (1998) 191-233 ps-file
  21. 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
  22. (with C. G\'erard) Long-range scattering in the position representation, Journ. Math. Phys. (1998)
  23. Fermi Golden Rule, Feshbach method and embedded point spectrum, Seminaire Equations aux Deriv\'ees Partielles, Ecole Polytechnique, Palaiseau 1999
  24. (with C. G\'erard) Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians, Rev. Math. Phys. 11 (1999) 383-450 ps-file
  25. (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
  26. (with V. Jaksic) Spectral theory of Pauli-Fierz operators, Journ. Func. Analysis 180 (2001) 241-327 ps-file
  27. (with R. Fr\"uboes) Renormalization of Friedrichs Hamiltonians, Reports on Math. Phys. 50 (2002) 433-438 pdf-file
  28. (with V. Jaksic) Return to equilibrium for Pauli-Fierz systems, Ann. H. Poincar\'e\ 4 (2003) 739-793 ps-file
  29. (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
  30. Van Hove Hamiltonians---exactly solvable models of the infrared and ultraviolet problem, Ann. H. Poincar\'e\ 4 (2003) 713-738 ps-file
  31. (with C. G\'{e}rard) Scattering theory of infrared divergent Pauli-Fierz Hamiltonians, Ann. H. Poincar{\'e} 5 (2004) 523-577 ps-file
  32. (with V. Jaksic) On the nature of Fermi Golden Rule for open quantum systems, Journ Stat. Phys. 116 (2004) 411-423 ps-file
  33. (with L. Bruneau) Pauli-Fierz Hamiltonians defined as quadratic forms, Rep. Math. Phys 54 (2004) 169-199 ps-file
  34. (with R. Fr\"uboes) Level Shift Operator and 2nd order perturbation theory, Journ. Math. Phys 46 (2005) 033512, ps-file
  35. (with R. Fr\"uboes) Stationary van Hove limit, Journ. Math. Phys 46 (2005) 063511, pdf-file
  36. (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
  37. (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
  38. (with H. Cornean and P. Zin) 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
  39. 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
  40. (with L. Bruneau) Bogoliubov Hamiltonians and one parameter groups of Bogoliubov transformations, in Journ. Math. Phys. 48 (2007) 022101 pdf-file
  41. (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
  42. (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
  43. (with W. de Roeck) Extended Weak Coupling Limit for Friedrichs Hamiltonians, Journ. Math. Phys. 48 (2007) 012103 pdf-file
  44. (with W. de Roeck) Extended Weak Coupling Limit for Pauli-Fierz Hamiltonians, Comm. Math. Phys. 279 (2008) 1-30 pdf-file
  45. Return to equilibrium for small quantum systems interacting with environment, Reports on Mathematical Physics 59 (2007) 317-330, pdf-file
  46. (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
  47. (with W. de Roeck) Reduced and extended weak coupling limit, Banach Center Publications 78 (2007) 91-119, pdf-file
  48. 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
  49. (with C.A.Pillet) KMS states, to appear in Modern Encyclopedia of Mathematical Physics
  50. (with C.A.Pillet) Quantum dynamical systems, to appear in Modern Encyclopedia of Mathematical Physics
  51. (with C.A.Pillet) The $C^*$-algebra approach, to appear in Modern Encyclopedia of Mathematical Physics
  52. (with C.A.Pillet) Tomita-Takesaki theory, to appear in Modern Encyclopedia of Mathematical Physics
  53. (with E. Skibsted) Quantum scattering at low energies, Journal of Functional Analysis 257 (2009) 1828-1920, pdf-file
  54. (with E. Skibsted) Scattering at zero energy for attractive homogeneous potentials, Annales Henri Poincar\'e 10 (2009) 549-571 pdf-file
  55. Scattering in quantum field theory, lecture notes of a tutorial delivered at the workshop "Mathematical Horizons of Quantum Physics", Institute of Mathematical Sciences, Singapore, Aug. 2008, revised version, July 2009, pdf file
  56. (with C.G\'erard) Positive energy quantization of linear dynamics, revised version May 2009, to appear in Banach Center Publications, pdf file
  57. (with L.Bruneau and V.Georgescu), Homogeneous Schr\"odinger operators on half-line, pdf file