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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Selected topics in the mathematical analysis of interacting Bose gas

2012/07/N/ST1/03185

Keywords:

Bose-Einstein Condensation Bogoliubov approximation spectrum

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_9: Operator algebras and functional analysis
  • ST2_17: Complex systems

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):

Marcin Napiórkowski 

Number of co-investigators in the project: 2

Call: PRELUDIUM 4 - announced on 2012-09-15

Amount awarded: 61 740 PLN

Project start date (Y-m-d): 2013-07-19

Project end date (Y-m-d): 2015-10-18

Project duration:: 27 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer PC wraz z monitorem (3 500 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit
    Authors:
    Jan Dereziński, Marcin Napiórkowski
    Academic press:
    Annales Henri Poincare (rok: 2014, tom: 15, strony: 2409-2439), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-013-0302-4 - link to the publication
  2. Bogoliubov correction to the mean-field dynamics of interacting bosons
    Authors:
    Phan Thành Nam, Marcin Napiórkowski
    Academic press:
    Advances in Theoretical and Mathematical Physics (rok: 2017, tom: 21, strony: 683-738), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/ATMP.2017.v21.n3.a4 - link to the publication
  3. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
    Authors:
    Phan Thành Nam, Marcin Napiórkowski, Jan Philip Solovej
    Academic press:
    Journal of Functional Analysis (rok: 2016, tom: 270, strony: 4340-4368), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.12.007 - link to the publication
  4. The Bogoliubov free energy functional I. Existence of minimizers and phase diagram
    Authors:
    Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
    Academic press:
    Archive for Rational Mechanics and Analysis , Wydawca: Springer
    Status:
    Submitted
    DOI:
    ''brak" - link to the publication
  5. The Bogoliubov free energy functional II. The dilute limit
    Authors:
    Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
    Academic press:
    Communications in Mathematcal Physics , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    "brak" - link to the publication

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