Derivation of Hartreeʼs theory for generic mean-field Bose systems M Lewin, PT Nam, N Rougerie Advances in Mathematics 254, 570-621, 2014 | 192 | 2014 |
Bogoliubov spectrum of interacting Bose gases M Lewin, PT Nam, S Serfaty, JP Solovej Communications on Pure and Applied Mathematics 68 (3), 413–471, 2015 | 186 | 2015 |
Fluctuations around Hartree states in the mean-field regime M Lewin, PT Nam, B Schlein American Journal of Mathematics 137 (6), 1613-1650, 2015 | 109 | 2015 |
Ground states of large bosonic systems: the Gross–Pitaevskii limit revisited PT Nam, N Rougerie, R Seiringer Analysis & PDE 9 (2), 459-485, 2016 | 97 | 2016 |
The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases M Lewin, PT Nam, N Rougerie Transactions of the American Mathematical Society 368 (9), 6131-6157, 2016 | 89 | 2016 |
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 | 76 | 2017 |
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations PT Nam, M Napiórkowski, JP Solovej Journal of Functional Analysis 270 (11), 4340-4368, 2016 | 71 | 2016 |
Derivation of nonlinear Gibbs measures from many-body quantum mechanics M Lewin, PT Nam, N Rougerie Journal de l'École polytechnique — Mathématiques 2, 65-115, 2015 | 69 | 2015 |
Collective excitations of Bose gases in the mean-field regime PT Nam, R Seiringer Archive for Rational Mechanics and Analysis, 215 (2), 381-417, 2015 | 57 | 2015 |
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 | 52 | 2017 |
An approximate solution for nonlinear backward parabolic equations PT Nam Journal of Mathematical Analysis and Applications 367 (2), 337-349, 2010 | 48 | 2010 |
Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime PT Nam, A Triay Journal de Mathématiques Pures et Appliquées 176, 18-101, 2023 | 47 | 2023 |
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 | 46 | 2022 |
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 | 45 | 2019 |
New bounds on the maximum ionization of atoms PT Nam Communications in Mathematical Physics 312 (2), 427-445, 2012 | 44 | 2012 |
The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory RL Frank, PT Nam, H Van Den Bosch Communications on Pure and Applied Mathematics 71 (3), 577-614, 2018 | 41 | 2018 |
Nonexistence of large nuclei in the liquid drop model RL Frank, R Killip, PT Nam Letters in Mathematical Physics 106 (8), 1033-1036, 2016 | 40 | 2016 |
The truncation method for a two-dimensional nonhomogeneous backward heat problem PT Nam, DD Trong, NH Tuan Applied Mathematics and Computation 216 (12), 3423-3432, 2010 | 38 | 2010 |
Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems D Lundholm, PT Nam, F Portmann Archive for Rational Mechanics and Analysis 219 (3), 1343-1382, 2016 | 36 | 2016 |
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D M Lewin, PT Nam, N Rougerie Inventiones mathematicae 224, 315-444, 2021 | 35* | 2021 |