Marcin Napiórkowski
Marcin Napiórkowski
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Excitation spectrum of interacting bosons in the mean-field infinite-volume limit
J Dereziński, M Napiórkowski
Annales Henri Poincaré 15 (12), 2409-2439, 2014
Bogoliubov correction to the mean-field dynamics of interacting bosons
PT Nam, M Napiórkowski
Advances in Theoretical and Mathematical Physics 21 (3), 683-738, 2017
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
PT Nam, M Napiórkowski, JP Solovej
Journal of Functional Analysis 270 (11), 4340-4368, 2016
A note on the validity of Bogoliubov correction to mean-field dynamics
PT Nam, M Napiórkowski
Journal de Mathématiques Pures et Appliquées 108 (5), 662-688, 2017
Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation
C Brennecke, PT Nam, M Napiórkowski, B Schlein
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 (5), 1201-1235, 2019
Optimal rate of condensation for trapped bosons in the Gross--Pitaevskii regime
PT Nam, M Napiórkowski, J Ricaud, A Triay
Analysis & PDE 15 (6), 1585–1616, 2022
Norm approximation for many-body quantum dynamics: focusing case in low dimensions
PT Nam, M Napiórkowski
Advances in Mathematics 350, 547-587, 2019
The Bogoliubov free energy functional I. Existence of minimizers and phase diagram
M Napiórkowski, R Reuvers, JP Solovej
Archive for Rational Mechanics and Analysis 229 (3), 1037-1090, 2018
The Bogoliubov free energy functional II. The dilute limit
M Napiórkowski, R Reuvers, JP Solovej
Communications in Mathematical Physics 360 (1), 347-403, 2018
Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
S Fournais, M Napiórkowski, R Reuvers, JP Solovej
Journal of Mathematical Physics 60, 071903, 2019
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
PT Nam, M Napiórkowski
Calculus of Variations and Partial Differential Equations 60 (3), 99, 2021
Dynamics of interacting bosons: a compact review
M Napiórkowski
Density Functionals for Many-Particle Systems - Mathematical Theory and …, 2023
On the minimization of Hamiltonians over pure Gaussian states
J Dereziński, M Napiórkowski, JP Solovej
Complex Quantum Systems. Analysis of Large Coulomb Systems, 151-162, 2013
Norm approximation for many-body quantum dynamics and Bogoliubov theory
PT Nam, M Napiórkowski
Advances in Quantum Mechanics. Springer INdAM Series 18, 223-238, 2017
On the Energy-Momentum Spectrum of a Homogeneous Fermi Gas
J Dereziński, KA Meissner, M Napiórkowski
Annales Henri Poincaré 14 (1), 1-36, 2013
Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation
M Napiórkowski, R Reuvers, JP Solovej
EPL (Europhysics Letters) 121 (1), 10007, 2018
Free energy asymptotics of the quantum Heisenberg spin chain
M Napiórkowski, R Seiringer
Letters in Mathematical Physics 111, 31, 2021
Recent advances in the theory of Bogoliubov Hamiltonians
M Napiórkowski
Macroscopic Limits of Quantum Systems, Springer PROMS 270, 101-123, 2018
Excitation spectrum and quasiparticles in quantum gases. A rigorous approach.
M Napiórkowski
PhD Thesis, University of Warsaw, 2014
Beliaev damping in Bose gas
J Dereziński, B Li, M Napiórkowski
arXiv preprint arXiv:2310.20070, 2023
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