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. 38 (1997) 3925
  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, pdf-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. 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
  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, 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
  56. (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
  57. (with Laurent Bruneau and Vladimir Georgescu), Homogeneous Schr\"odinger operators on half-line, Annales Henri Poincare 12 (2011), 547-590 pdf file
  58. (with Michal Wrochna), Exactly solvable Schrodinger operators, Annales Henri Poincare 12 (2011) 397-418 pdf file of a revised version
  59. (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
  60. Open problems about many body Dirac operators, Bulletin of International Association of Mathematical Physics, Jan. 2012
  61. (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
  62. 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
  63. (with C. G\'erard) Mathematics of Quantization and Quantum Fields, Cambridge Monographs in Mathematical Physics, Cambridge University Press 2013
  64. (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,
  65. Quantum fields with classical perturbations, Journ. Math. Phys. 55 (2014) 075201 pdf file of revised version
  66. (with Michal Wrochna), Continuous and holomorphic functions with values in closed operators, Journ. Math. Phys. 55 (2014) 083512 pdf file
  67. 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
  68. (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
  69. (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
  70. (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
  71. 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
  72. (with Daniel Siemssen) Feynman propagators on static spacetimes, Reviews on Mathematical Physics, 30 (2018) 1850006 (23 pages) DOI: 10.1142/S0129055X1850006X pdf file
  73. (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
  74. (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
  75. Homogeneous rank one perturbations, Annales Henri Poincare 18 (2017) 3249-3268, DOI 10.1007/s00023-017-0585-y, pdf file
  76. 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
  77. (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
  78. (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
  79. Review of Ludwig Faddeev Memorial Volume, IAMP News Bulletin, January 2019, pdf file
  80. (with Adam Latosinski and Daniel Siemssen) Pseudodifferential Weyl Calculus on (Pseudo-)Riemannian Manifolds, Annales Henri Poincare, 21 (2020) 1595--1635 pdf file
  81. 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
  82. (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
  83. (with Maciej Karczmarczyk) Equations of hypergeometric type in the degenerate case, pdf file
  84. (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
  85. (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
  86. (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,
  87. (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
  88. (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
  89. (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
  90. (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
  91. (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
  92. (with Christian Gass and Blazej Ruba) Generalized integrals of Macdonald and Gegenbauer functions pdf file
  93. (with Christian Gass and Blazej Ruba) Generalized integrals and point interactions, J. Phys.: Conf. Ser. 2667 012071 (2023) pdf file
  94. (with Ben Li and Marcin Napiorkowski) Beliaev damping in Bose gas pdf file to appear in J. Stat. Phys.
  95. (with Jinyeop Lee) Exactly solvable Schrödinger operators related to the confluent equation pdf file
  96. (with Christian Gass and Joonas Vatto) Confluent functions, Laguerre polynomials and their (generalized) bilinear integrals pdf file
  97. (with Christian Gass) Propagators in curved spacetimes from operator theory pdf file
  98. (with Christian Gass and Blazej Ruba) Point Potentials on Euclidean Space, Hyperbolic Space and Sphere in Any Dimension, Ann. Henri Poincare Online First https://doi.org/10.1007/s00023-024-01496-1 pdf-file