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Arnaud Triay
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Year
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
442023
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
432022
Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach
C Hainzl, B Schlein, A Triay
Forum of Mathematics, Sigma 10, e90, 2022
252022
Derivation of the dipolar Gross--Pitaevskii energy
A Triay
SIAM Journal on Mathematical Analysis 50 (1), 33-63, 2018
162018
The free energy of dilute Bose gases at low temperatures
F Haberberger, C Hainzl, PT Nam, R Seiringer, A Triay
arXiv preprint arXiv:2304.02405, 2023
112023
The condensation of a trapped dilute Bose gas with three-body interactions
PT Nam, J Ricaud, A Triay
Probability and Mathematical Physics 4 (1), 91-149, 2023
112023
Semi-classical limit of large fermionic systems at positive temperature
M Lewin, PS Madsen, A Triay
Journal of Mathematical Physics 60 (9), 2019
102019
The Scott correction in Dirac–Fock theory
S Fournais, M Lewin, A Triay
Communications in Mathematical Physics 378, 569-600, 2020
92020
Ground state energy of the low density Bose gas with three-body interactions
PT Nam, J Ricaud, A Triay
Journal of Mathematical Physics 63 (7), 2022
72022
Dilute Bose gas with three-body interaction: Recent results and open questions
PT Nam, J Ricaud, A Triay
Journal of Mathematical Physics 63 (6), 061103, 2022
62022
Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction
A Triay
arXiv preprint arXiv:1904.10672, 2019
52019
Derivation of the time-dependent Gross-Pitaevskii equation for the dipolar gases
A Triay
arXiv preprint arXiv:1904.04000, 2019
22019
The excitation spectrum of a dilute Bose gas with an impurity
J Lampart, A Triay
arXiv preprint arXiv:2401.14911, 2024
12024
Mean Field Limits in Quantum Mechanics
A Triay
Université Paris sciences et lettres, 2019
12019
Limites de champ moyen en mécanique quantique
A Triay
Paris Sciences et Lettres (ComUE), 2019
2019
Dérivation du modèle de Schrödinger Non-Linéaire dipolaire à partir du modèle à N corps
A Triay
2015
ANALYSIS & PDE
PT NAM, M NAPIÓRKOWSKI, J RICAUD, A TRIAY
Mathématiques financières
A Triay
Inégalités et limites semi-classiques
A Triay
Condensation de Bose-Einstein
A Triay
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Articles 1–20