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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Effective theories in many-body quantum mechanics

2016/21/D/ST1/02430

Keywords:

quantum dynamics Schroedinger operators spectral theory

Descriptors:

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

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Marcin Napiórkowski 

Number of co-investigators in the project: 1

Call: SONATA 11 - announced on 2016-03-15

Amount awarded: 159 980 PLN

Project start date (Y-m-d): 2017-03-21

Project end date (Y-m-d): 2021-03-20

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

Project status: Project settled

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.

Equipment purchased [PL]

  1. Komputer stacjonarny z monitorem (2 600 PLN)
  2. Tablet (8 333 PLN)
  3. Komputer przenośny (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (1)
  1. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
    Authors:
    M. Napiorkowski, R. Reuvers and J. P. Solovej
    Academic press:
    EPL (Europhysics Letters) (rok: 2018, tom: 121, strony: 10007), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1209/0295-5075/121/10007 - link to the publication
  2. Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
    Authors:
    Soren Fournais, Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
    Academic press:
    Journal of Mathematical Physics (rok: 2019, tom: 60, strony: 71903), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.5096987 - link to the publication
  3. Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
    Authors:
    Phan Thanh Nam, Marcin Napiórkowski, Julien Ricaud, Arnaud Triay
    Academic press:
    Analysis and PDE , Wydawca: MSP (Mathematical Sciences Publishers)
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  4. Free energy asymptotics of the quantum Heisenberg spin chain
    Authors:
    Marcin Napiórkowski, Robert Seiringer
    Academic press:
    Letters in Mathematical Physics (rok: 2021, tom: 11, strony: 45315), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-021-01375-4 - link to the publication
  5. Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation
    Authors:
    Christian Brennecke, Phan Thành Nam, Marcin Napiórkowski, Benjamin Schlein
    Academic press:
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire (rok: 2019, tom: 36, strony: 1201-1235), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.007 - link to the publication
  6. Norm approximation for many-body quantum dynamics: focusing case in low dimensions
    Authors:
    Phan Thanh Nam oraz Marcin Napiórkowski
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 350, strony: 547-587), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.04.066 - link to the publication
  1. Dynamics of interacting bosons: a compact review
    Authors:
    Marcin Napiórkowski
    Conference:
    Density Functionals for Many Particle System (rok: 2019, ), Wydawca: World Scientific Publishing Co. Pte. Ltd.
    Data:
    konferencja 23-27.09.2019
    Status:
    Accepted for publication
  1. Recent advances in the theory of Bogoliubov Hamiltonians
    Authors:
    Marcin Napiórkowski
    Book:
    Macroscopic Limits of Quantum Systems (rok: 2018, tom: 270, strony: 101-121), Wydawca: Springer
    Status:
    Published

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