Ground states of large bosonic systems : the Gross–Pitaevskii limit revisited
Phan Thánh Nam , Nicolas Rougerie , Robert Seiringer
Analysis & PDE 9 ( 2) 459 -485
61
2016
Fluctuations around Hartree states in the mean-field regime
Benjamin Schlein , Mathieu Lewin , Phan Thành Nam
arXiv: Mathematical Physics
99
2013
Binding energy of homogeneous Bose gases
Phan Thành Nam
Letters in Mathematical Physics 108 ( 1) 141 -159
4
2018
Bogoliubov correction to the mean-field dynamics of interacting bosons
Phan Thành Nam , Marcin Napiórkowski
Advances in Theoretical and Mathematical Physics 21 ( 3) 683 -738
36
2017
Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems
Fabian Portmann , Douglas Lundholm , Phan Thành Nam
Archive for Rational Mechanics and Analysis 219 ( 3) 1343 -1382
32
2016
Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits
Nicolas Rougerie , Mathieu Lewin , Phan Thành Nam
Journal of Mathematical Physics 59 ( 4) 041901
20
2018
Ground state energy of mixture of Bose gases
Phan Thành Nam , Alessandro Olgiati , Alessandro Michelangeli
Reviews in Mathematical Physics 31 ( 02) 1950005
4
2019
Lieb-Thirring inequalities for wave functions vanishing on the diagonal set
Douglas Lundholm , Phan Thành Nam , Simon Larson
Annales Henri Lebesgue 4 251 -282
7
2021
The Lieb–Thirring Inequality for Interacting Systems in Strong-Coupling Limit
Phan Thành Nam , Kevin Kögler
Archive for Rational Mechanics and Analysis 240 ( 3) 1 -34
2021
The Lieb–Thirring inequality revisited
Dirk Hundertmark , Rupert L. Frank , Michal Jex , Phan Thành Nam
Journal of the European Mathematical Society
7
2021
Correlation energy of a weakly interacting Fermi gas
Robert Seiringer , Niels Benedikter , Benjamin Schlein , Marcello Porta
Inventiones Mathematicae 1 -95
2021
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
Phan Thành Nam , Debangana Mukherjee , Phuoc-Tai Nguyen
Journal of Functional Analysis 281 ( 5) 109092
2021
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
Phan Thành Nam , Marcin Napiórkowski
Calculus of Variations and Partial Differential Equations 60 ( 3)
2021
Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation
Christian Brennecke , Phan Thành Nam , Marcin Napiórkowski , Benjamin Schlein
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 ( 5) 1201 -1235
21
2019
Bogoliubov Spectrum of Interacting Bose Gases
Mathieu Lewin , Phan Thành Nam , Sylvia Serfaty , Jan Philip Solovej
Communications on Pure and Applied Mathematics 68 ( 3) 413 -471
123
2015
The Ionization Conjecture in Thomas-Fermi-Dirac-von Weizsäcker Theory
Rupert L. Frank , Phan Thành Nam , Hanne Van Den Bosch
Communications on Pure and Applied Mathematics 71 ( 3) 577 -614
33
2018
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
Phan Thành Nam , Marcin Napiórkowski , Jan Philip Solovej
Journal of Functional Analysis 270 ( 11) 4340 -4368
43
2016
Improved stability for 2D attractive Bose gases
Phan Thành Nam , Nicolas Rougerie
Journal of Mathematical Physics 61 ( 2) 021901
6
2020
A note on 2D focusing many-boson systems
Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie
Proceedings of the American Mathematical Society 145 ( 6) 2441 -2454
28
2017
Nonexistence in Thomas-Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges
Phan Thành Nam , Hanne Van Den Bosch
Mathematical Physics Analysis and Geometry 20 ( 2) 6
10
2017
Mathieu Lewin Nicolas Rougerie Marcin Napiórkowski Rupert Frank Benjamin Schlein Arnaud Triay Jan Philip Solovej Hanne Van Den Bosch Julien Ricaud Niels Benedikter Christian Brennecke Sylvia Serfaty Nguyet Minh MACH Fabian Portmann Douglas Lundholm Rowan Killip Nguyen Huy Tuan Dirk Hundertmark Michal Jex Robert Salzmann