Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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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_12: Mathematical methods of physics
  • ST2_19: Foundations of physics, mathematical physics
  • ST1_11: Partial differential equations

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.

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: Pending project

Project description

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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 (19)
  • Articles in post-conference publications (2)
  • Book publications / chapters in book publications (3)
  1. Axial anomaly in tne presence of arbitrary spinor interactions
    Authors:
    Jan Dereziński, Adam Latosiński
    Academic press:
    Acta Physica Polonica B (rok: 2025, tom: 56, strony: 24), Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.56.2-A2 - link to the publication
  2. Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension
    Authors:
    Jan Dereziński, Błażej Ruba
    Academic press:
    Annales Henri Poincare (rok: 2022, tom: 25, strony: 347-424), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01221-w - link to the publication
  3. On the domains of Bessel operators
    Authors:
    Jan Dereziński and Vladimir Georgescu
    Academic press:
    Annales Henri Poincare (rok: 2021, tom: 22, strony: 103291-19), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-021-01058-9 - link to the publication
  4. On the domains of Bessel operators
    Authors:
    Jan Dereziński and Vladimir Georgescu
    Academic press:
    Annales Henri Poincare (rok: 2021, tom: 22, strony: 103291-19), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-021-01058-9 - link to the publication
  5. From Heun Class Equations to Painlev´e Equations
    Authors:
    Jan DEREZINSKI, Artur ISHKHANYAN, Adam LATOSIŃSKI
    Academic press:
    Sigma (rok: 2021, tom: 17, strony: 59), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.056 - link to the publication
  6. On the domains of Bessel operators
    Authors:
    Jan Dereziński and Vladimir Georgescu
    Academic press:
    Annales Henri Poincare (rok: 2021, tom: 22, strony: 103291-19), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-021-01058-9 - link to the publication
  7. 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 (rok: 2022, tom: 63, strony: 13504), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/5.0057088 - link to the publication
  8. Quantum general covariance
    Authors:
    C. Gaß, J. M. Gracia-Bondía, K.-H. Rehren,
    Academic press:
    Class. Quant. Grav. 40 (19), 2023. (rok: 2023, tom: 40, strony: 32), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/aceb2b - link to the publication
  9. On the domains of Bessel operators
    Authors:
    Jan Dereziński and Vladimir Georgescu
    Academic press:
    Annales Henri Poincare (rok: 2021, tom: 22, strony: 103291-19), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-021-01058-9 - link to the publication
  10. 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 (rok: 2022, tom: 63, strony: 13504), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/5.0057088 - link to the publication
  11. 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 (rok: 2022, tom: 63, strony: 13504), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/5.0057088 - link to the publication
  12. From Heun Class Equations to Painlev´e Equations
    Authors:
    Jan DEREZINSKI, Artur ISHKHANYAN, Adam LATOSIŃSKI
    Academic press:
    Sigma (rok: 2021, tom: 17, strony: 59), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.056 - link to the publication
  13. From Heun Class Equations to Painlev´e Equations
    Authors:
    Jan DEREZINSKI, Artur ISHKHANYAN, Adam LATOSIŃSKI
    Academic press:
    Sigma (rok: 2021, tom: 17, strony: 59), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.056 - link to the publication
  14. Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension
    Authors:
    Jan Dereziński, Błażej Ruba
    Academic press:
    Annales Henri Poincare (rok: 2022, tom: 25, strony: 347-424), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01221-w - link to the publication
  15. 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 (rok: 2022, tom: 63, strony: 13504), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/5.0057088 - link to the publication
  16. Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension
    Authors:
    Jan Dereziński, Błażej Ruba
    Academic press:
    Annales Henri Poincare (rok: 2022, tom: online first, strony: 78), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01221-w - link to the publication
  17. From Heun Class Equations to Painlev´e Equations
    Authors:
    Jan DEREZINSKI, Artur ISHKHANYAN, Adam LATOSIŃSKI
    Academic press:
    Sigma (rok: 2021, tom: 17, strony: 59), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.056 - link to the publication
  18. Point Potentials on Euclidean Space, Hyperbolic Space and Sphere in Any Dimension
    Authors:
    Jan Dereziński, Christian Gass, Błażej Ruba
    Academic press:
    Annales Henri Poincare (rok: 2024, tom: 26, strony: 55), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00023-024-01496-1 - link to the publication
  19. Quantum general covariance
    Authors:
    C. Gaß, J. M. Gracia-Bondía, K.-H. Rehren,
    Academic press:
    Class. Quant. Grav. 40 (19), 2023. (rok: 2023, tom: 40, strony: 32), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/aceb2b - link to the publication
  1. Generalized integrals and point interactions,
    Authors:
    Jan Dereziński, Christian Gass, Błażej Ruba
    Conference:
    J. Phys.: Conf. Ser. 2667 (rok: 2023, tom: XII International Symposium on Quantum Theory and Symmetries (QTS12), strony: 10), Wydawca: IOP Publishing
    Data:
    konferencja 24-28.07.2023
    Status:
    Published
    DOI:
    10.1088/1742-6596/2667/1/012071 - link to the publication
  2. Generalized integrals and point interactions,
    Authors:
    Jan Dereziński, Christian Gass, Błażej Ruba
    Conference:
    J. Phys.: Conf. Ser. 2667 (rok: 2023, tom: XII International Symposium on Quantum Theory and Symmetries (QTS12), strony: 10), 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 (rok: 2023, tom: II, strony: 78), 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:
    Quantum Mathematics II (rok: 2023, tom: II, strony: 78), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/978-981-99-5884-9_2 - link to the publication
  3. An Evolution Equation Approach to Linear Quantum Field Theory
    Authors:
    Jan Dereziński, Daniel Siemssen
    Book:
    Quantum Mathematics (rok: 2023, tom: 1, strony: 78), Wydawca: Springer
    Status:
    Accepted for publication

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