Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Mathematics of Many-Body Quantum Systems

2018/31/G/ST1/01166

Keywords:

quantum mechanics Schrödinger equation Bose--Einstein condensation spectral theory

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_8: Analysis
  • 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. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Marcin Napiórkowski 

Number of co-investigators in the project: 4

Call: BEETHOVEN 3 - announced on 2018-09-14

Amount awarded: 934 117 PLN

Project start date (Y-m-d): 2020-08-03

Project end date (Y-m-d): 2025-08-02

Project duration:: 36 months (the same as in the proposal)

Project status: Pending project

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 (5)
  1. Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
    Authors:
    Phan Than Nam, Marcin Napiórkowski
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2021, tom: 60, strony: 99-129), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-021-01954-2 - link to the publication
  2. Perturbed Bessel operators. Boundary conditions and closed realizations
    Authors:
    Jan Dereziński, Jeremy Faupin
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284, strony: 31048), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109728 - link to the publication
  3. Beliaev damping in Bose gas
    Authors:
    Jan Dereziński, Ben Li, Marcin Napiórkowski
    Academic press:
    Journal of Statistical Physics , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Perturbed Bessel operators
    Authors:
    Jan Dereziński, Jeremy Faupin
    Academic press:
    Analysis & PDE , Wydawca: MSP
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Ground state energy of Bogoliubov energy functional in the high density limit
    Authors:
    Norbert Mokrzański, Bartosz Pałuba
    Academic press:
    Journal of Mathematical Physics , Wydawca: AIP
    Status:
    Submitted
    DOI:
    brak - link to the publication

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