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Information on the principal investigator and host institution

Information of the project and the call

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Schrödinger and Klein-Gordon operators

2019/35/B/ST1/01651

Keywords:

Hilbert spaces unbounded operators Lie groups hypergeometric functions pseudo-Riemannian manifolds Schrödinger operators quantum fields Klein-Gordon equation

Descriptors:

  • ST1_012:
  • ST2_019:
  • ST1_011:

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: 9

Call: OPUS 18 - announced on 2019-09-16

Amount awarded: 625 200 PLN

Project start date (Y-m-d): 2020-09-30

Project end date (Y-m-d): 2025-09-29

Project duration:: 60 months (the same as in the proposal)

Project status: Project completed

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (7)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (2)
  1. Axial anomaly in tne presence of arbitrary spinor interactions
    Authors:
    Jan Dereziński, Adam Latosiński
    Academic press:
    Acta Physica Polonica B , Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.56.2-A2 - link to the publication
  2. Quantum general covariance
    Authors:
    C. Gaß, J. M. Gracia-Bondía, K.-H. Rehren,
    Academic press:
    Class. Quant. Grav. 40 (19), 2023. , Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/aceb2b - link to the publication
  3. On the domains of Bessel operators
    Authors:
    Jan Dereziński and Vladimir Georgescu
    Academic press:
    Annales Henri Poincare (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-021-01058-9 - link to the publication
  4. Momentum approach to the 1/r 2 potential as a toy model of the Wilsonian renormalization
    Authors:
    Jan Dereziński, Oskar Grocholski
    Academic press:
    Journal of Mathematical Physics , Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/5.0057088 - link to the publication
  5. From Heun Class Equations to Painlev´e Equations
    Authors:
    Jan DEREZINSKI, Artur ISHKHANYAN, Adam LATOSIŃSKI
    Academic press:
    Sigma , Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.056 - link to the publication
  6. Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension
    Authors:
    Jan Dereziński, Błażej Ruba
    Academic press:
    Annales Henri Poincare (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01221-w - link to the publication
  7. Point Potentials on Euclidean Space, Hyperbolic Space and Sphere in Any Dimension
    Authors:
    Jan Dereziński, Christian Gass, Błażej Ruba
    Academic press:
    Annales Henri Poincare , Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00023-024-01496-1 - link to the publication
  1. Generalized integrals and point interactions,
    Authors:
    Jan Dereziński, Christian Gass, Błażej Ruba
    Conference:
    J. Phys.: Conf. Ser. 2667 (tom: XII International Symposium on Quantum Theory and Symmetries (QTS12), strony: ), Wydawca: IOP Publishing
    Data:
    konferencja 24-28.07.2023
    Status:
    Published
    DOI:
    10.1088/1742-6596/2667/1/012071 - link to the publication
  1. An Evolution Equation Approach to Linear Quantum Field Theory
    Authors:
    Jan Dereziński, Daniel Siemssen
    Book:
    Quantum Mathematics II (tom: II, strony: ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/978-981-99-5884-9_2 - link to the publication
  2. An Evolution Equation Approach to Linear Quantum Field Theory
    Authors:
    Jan Dereziński, Daniel Siemssen
    Book:
    Status:
    Accepted for publication

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