Phan Thành Nam

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Person:245933

Available identifiers

zbMath Open phan-thanh-nam.WikidataQ93881098 ScholiaQ93881098MaRDI QIDQ245933

List of research outcomes

PublicationDate of PublicationType
The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime2024-01-11Paper
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schr\"odinger operator2023-12-27Paper
Hardy-Sobolev interpolation inequalities2023-12-18Paper
Second Order Expansion of Gibbs State Reduced Densities in the Gross-Pitaevskii Regime2023-10-09Paper
Positive-density ground states of the Gross-Pitaevskii equation2023-10-05Paper
Exponential bounds of the condensation for dilute Bose gases2023-07-20Paper
Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime2023-07-11Paper
The Gell-Mann-Brueckner formula for the correlation energy of the electron gas: a rigorous upper bound in the mean-field regime2023-07-04Paper
Focusing dynamics of 2D Bose gases in the instability regime2023-07-03Paper
The condensation of a trapped dilute Bose gas with three-body interactions2023-04-26Paper
Ground state energy of the low density Bose gas with three-body interactions2023-03-31Paper
Dilute Bose gas with three-body interaction: Recent results and open questions2023-03-21Paper
Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime2022-11-11Paper
The ionization problem in quantum mechanics2022-08-12Paper
On the Effective Quasi-Bosonic Hamiltonian of the Electron Gas: Collective Excitations and Plasmon Modes2022-06-27Paper
Bosonization of fermionic many-body dynamics2022-05-04Paper
Dilute Bose gas with three-body interaction: recent results and open questions2022-02-28Paper
Lieb-Thirring inequalities for wave functions vanishing on the diagonal set2022-02-24Paper
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential2022-01-13Paper
Existence and nonexistence in the liquid drop model2021-10-26Paper
The condensation of a trapped dilute Bose gas with three-body interactions2021-10-15Paper
Correlation energy of a weakly interacting Fermi gas2021-08-27Paper
The Lieb-Thirring inequality revisited2021-07-05Paper
The Lieb-Thirring inequality for interacting systems in strong-coupling limit2021-06-11Paper
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D2021-06-07Paper
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas2021-05-06Paper
The ionization problem2021-02-23Paper
Direct methods to Lieb-Thirring kinetic inequalities2020-12-22Paper
Improved stability for 2D attractive Bose gases2020-05-22Paper
Derivation of 3D energy-critical nonlinear Schrödinger equation and Bogoliubov excitations for Bose gases2020-04-08Paper
Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime2020-04-07Paper
Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime2020-01-13Paper
A short proof of the ionization conjecture in Müller theory2019-10-07Paper
Ground state energy of mixture of Bose gases2019-07-31Paper
Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation2019-07-29Paper
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases2019-07-18Paper
Norm approximation for many-body quantum dynamics: Focusing case in low dimensions2019-06-14Paper
Blow-up profile of rotating 2D focusing Bose gases2019-05-29Paper
Convergence of Levy-Lieb to Thomas-Fermi density functional2018-10-15Paper
The maximal excess charge in Müller density-matrix-functional theory2018-09-21Paper
Nonexistence in Thomas-Fermi-Dirac-von Weizsäcker theory with small nuclear charges2018-08-21Paper
Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits2018-05-09Paper
The interacting 2D Bose gas and nonlinear Gibbs measures2018-05-04Paper
The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory2018-03-02Paper
Binding energy of homogeneous Bose gases2018-02-06Paper
Lieb-Thirring inequality with semiclassical constant and gradient error term2018-02-06Paper
Bogoliubov correction to the mean-field dynamics of interacting bosons2018-01-15Paper
Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory2017-11-22Paper
A note on the validity of Bogoliubov correction to mean-field dynamics2017-10-16Paper
Ice formation in the Arctic during summer: false-bottoms2017-06-08Paper
A note on 2D focusing many-boson systems2017-03-27Paper
Nonexistence of large nuclei in the liquid drop model2016-09-15Paper
Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited2016-06-20Paper
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations2016-05-30Paper
The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases2016-03-08Paper
Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems2016-02-25Paper
Bose Gases at Positive Temperature and Non-Linear Gibbs Measures2016-02-16Paper
Fluctuations around Hartree states in the mean-field regime2015-12-18Paper
Derivation of nonlinear Gibbs measures from many-body quantum mechanics2015-09-09Paper
Remarks on the Quantum de Finetti Theorem for Bosonic Systems2015-04-01Paper
Bogoliubov Spectrum of Interacting Bose Gases2015-03-09Paper
Collective excitations of Bose gases in the mean-field regime2015-02-09Paper
ON THE NUMBER OF ELECTRONS THAT A NUCLEUS CAN BIND2014-11-11Paper
Derivation of Hartree's theory for generic mean-field Bose systems2014-04-15Paper
New bounds on the maximum ionization of atoms2012-12-21Paper
The body force in a three-dimensional Lamé system: identification and regularization2012-10-29Paper
Asymptotics for two-dimensional atoms2012-03-01Paper
Bogoliubov theory and bosonic atoms2011-09-13Paper
Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation2011-01-17Paper
The truncation method for a two-dimensional nonhomogeneous backward heat problem2010-08-18Paper
An approximate solution for nonlinear backward parabolic equations2010-05-10Paper
Recovering a class of entire functions and application to heat equations2009-10-27Paper
Determine the special term of a two-dimensional heat source2009-07-16Paper
https://portal.mardi4nfdi.de/entity/Q36229282009-04-28Paper
Determine the source term of a two-dimensional heat equation2008-07-11Paper

Research outcomes over time


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