Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Hamiltonians and quantum fields

2014/15/B/ST1/00126

Keywords:

operator spectrum Hilbert space quantum field theory quantum electrodynamics,Green's functions hypergeometric type functions

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST2_1: Fundamental interactions and fields
  • ST1_9: Operator algebras and functional analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Fizyki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jan Dereziński 

Number of co-investigators in the project: 7

Call: OPUS 8 - announced on 2014-09-15

Amount awarded: 338 380 PLN

Project start date (Y-m-d): 2015-08-05

Project end date (Y-m-d): 2019-08-04

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer przenośny (7 000 PLN)
  2. drukarka laserowa wielofunkcyjna (3 000 PLN)
  3. komputer stacjonarny.
  4. oprogramowanie Microsoft Office.

Information in the final report

  • Publication in academic press/journals (10)
  • Articles in post-conference publications (2)
  • Book publications / chapters in book publications (1)
  1. From conformal group to symmetries of hypergeometric type equations,
    Authors:
    Jan Dereziński, Przemysław Majewski
    Academic press:
    SIGMA (rok: 2016, tom: 12, strony: 69), Wydawca: Fundation Compositio Mathematica
    Status:
    Published
    DOI:
    10.3842/SIGMA.2016.108 - link to the publication
  2. Homogeneous rank one perturbations
    Authors:
    Jan Dereziński
    Academic press:
    Annales Henri Poincare (rok: 2017, tom: 18, strony: 20), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00023-017-0585-y - link to the publication
  3. Bosonic quadratic Hamiltonians
    Authors:
    Jan Dereziński
    Academic press:
    Journal of Mathematical Physics (rok: 2017, tom: 58, strony: 48), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/1.5017931 - link to the publication
  4. Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes
    Authors:
    Christian Gerard, Michał Wrochna
    Academic press:
    Annales Henri Poincare (rok: 2017, tom: 18, strony: 2715-2756), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00023-017-0573-2 - link to the publication
  5. One-Dimensional Schroedinger Operators with Complex Potentials
    Authors:
    Jan Dereziński, Vladimir Georgescu
    Academic press:
    Annales Henri Poincare (rok: 2020, tom: 21, strony: 1947-2008), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-020-00901-9 - link to the publication
  6. Feynman propagators on static spacetimes
    Authors:
    Jan Dereziński, Daniel Siemssen
    Academic press:
    Reviews on Mathematical Physics (rok: 2018, tom: 30, strony: 23), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129055X1850006X - link to the publication
  7. An Evolution Equation Approach to the Klein–Gordon Operator on Curved Spacetime
    Authors:
    Jan Dereziński, Daniel Siemssen
    Academic press:
    Pure and Applied Analysis (rok: 2019, tom: 45293, strony: 215-261), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/paa.2019.1.215 - link to the publication
  8. On radial Schrodinger operators with a Coulomb potential
    Authors:
    Jan Dereziński, Serge Richard
    Academic press:
    Annales Henri Poincare (rok: 2018, tom: 19, strony: 2869-2917), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00023-018-0701-7 - link to the publication
  9. On the Weyl symbol of the resolvent of the harmonic oscillator
    Authors:
    Jan Dereziński, Maciej Karczmarczyk
    Academic press:
    Communications in Partial Differential Equations (rok: 2017, tom: 42, strony: 1537-1548), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1080/03605302.2017.1382518 - link to the publication
  10. On Schrodinger operators with inverse square potentials on the half-line
    Authors:
    Jan Dereziński, Serge Richard
    Academic press:
    Annales Henri Poincare (rok: 2017, tom: 18, strony: 60), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00023-016-0520-7 - link to the publication
  1. Group-theoretical origin of symmetries of hypergeometric class equations and functions
    Authors:
    Jan Dereziński
    Conference:
    Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, (rok: 2020, ), Wydawca: De Gruyter Proceedings in Mathematics
    Data:
    konferencja 2-15.09. 2018
    Status:
    Published
  2. Homogeneous rank one perturbations and inverse square potentials
    Authors:
    Jan Dereziński
    Conference:
    "Geometric Methods in Physics XXXVI" Workshop and Summer School, Białowieża, Poland, 2017 (rok: 2019, ), Wydawca: Birkhauser
    Data:
    konferencja 2-8.07.2017
    Status:
    Published
  1. Quantization of Gaussians
    Authors:
    Jan Derezinski, Maciej Karczmarczyk
    Book:
    "Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov" Operator Theory, Advances and Applications (rok: 2020, tom: 276, strony: 277-304), Wydawca: Birkhauser
    Status:
    Published

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