Search Results - "Nam, Phan Thanh"

A note on 2D focusing many-boson systems by LEWIN, MATHIEU, NAM, PHAN THÀNH, ROUGERIE, NICOLAS

“…We consider a 2D quantum system of 𝑁 bosons in a trapping potential |𝑥|𝑠, interacting via a pair potential of the form 𝑁²𝛽⁻¹𝑤(𝑁𝛽𝑥). We show that for…”
Get full text

High-definition 3D map for autonomous vehicles in Vietnam: A comparison between graph simultaneous localization and mapping and the normal distributions transform algorithm by Nam, Phan Thanh, Son, Le Anh, Nang, Ho Xuan

“…Autonomous vehicles have a fundamental part to play in future transportation. In order to work, such vehicles need a way of determining their exact location…”
Get full text

New results on exponential estimate for 2‐D positive systems with delays by Nguyen, Tran Ngoc, Nam, Phan Thanh, Trinh, Hieu

“…We present a new method to the problem of finding α$$ \alpha $$‐exponential state estimates for a class of 2‐D positive discrete‐time systems with bounded…”
Get full text

The Gell-Mann–Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime by Christiansen, Martin Ravn, Hainzl, Christian, Nam, Phan Thành

“…We prove a rigorous upper bound on the correlation energy of interacting fermions in the mean-field regime for a wide class of interaction potentials. Our…”
Get full text

Ice formation in the Arctic during summer: False-bottoms by Nam, Phan Thanh, Dinh Alain, Pham Ngoc, Trong, Dang Duc, Quan, Pham Hoang

“…The only source of ice formation in the Arctic during summer is a layer of ice called false-bottoms between an under-ice melt pond and the underlying ocean. Of…”
Get full text

Derivation of 3D Energy-Critical Nonlinear Schrödinger Equation and Bogoliubov Excitations for Bose Gases by Nam, Phan Thành, Salzmann, Robert

“…We derive the 3D quintic NLS as the mean field limit of a Bose gas with three-body interactions. The quintic NLS is energy-critical, leading to several new…”
Get full text

Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems by Lundholm, Douglas, Nam, Phan Thành, Portmann, Fabian

“…We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous…”
Get full text

Correlation energy of a weakly interacting Fermi gas by Benedikter, Niels, Nam, Phan Thành, Porta, Marcello, Schlein, Benjamin, Seiringer, Robert

“…We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies…”
Get full text

Asymptotics for Two-Dimensional Atoms by Nam, Phan Thanh, Portmann, Fabian, Solovej, Jan Philip

“…We prove that the ground state energy of an atom confined to two dimensions with an infinitely heavy nucleus of charge Z  > 0 and N quantum electrons of charge…”
Get full text

Stability analysis of singular time-delay systems using the auxiliary function-based double integral inequalities by Luu, Thi Hiep, Nam, Phan Thanh

“…Recently, there have been a few developments reported on using the Wirtinger/free-matrix-based single integral inequality to stability problem of singular…”
Get full text

Existence and nonexistence in the liquid drop model by Frank, Rupert L., Nam, Phan Thành

“…We revisit the liquid drop model with a general Riesz potential. Our new result is the existence of minimizers for the conjectured optimal range of parameters…”
Get full text

Hardy–Sobolev interpolation inequalities by Dietze, Charlotte, Nam, Phan Thành

“…We derive a family of interpolation estimates which improve Hardy’s inequality and cover the Sobolev critical exponent. We also determine all optimizers among…”
Get full text

On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes by Christiansen, Martin Ravn, Hainzl, Christian, Nam, Phan Thành

“…We consider an effective quasi-bosonic Hamiltonian of the electron gas which emerges naturally from the random phase approximation and describes the collective…”
Get full text

Classical field theory limit of many-body quantum Gibbs states in 2D and 3D by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas

“…We provide a rigorous derivation of nonlinear Gibbs measures in two and three space dimensions, starting from many-body quantum systems in thermal equilibrium…”
Get full text

Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas by Nam, Phan Thành, Napiórkowski, Marcin

“…We consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle…”
Get full text

An approximate solution for nonlinear backward parabolic equations by Nam, Phan Thanh

“…We consider the backward parabolic equation { u t + A u = f ( t , u ( t ) ) , 0 < t < T , u ( T ) = g , where A is a positive unbounded operator and f is a…”
Get full text

Collective Excitations of Bose Gases in the Mean-Field Regime by Nam, Phan Thành, Seiringer, Robert

“…We study the spectrum of a large system of N identical bosons interacting via a two-body potential with strength 1/ N . In this mean-field regime, Bogoliubov’s…”
Get full text

The Lieb–Thirring Inequality for Interacting Systems in Strong-Coupling Limit by Kögler, Kevin, Nam, Phan Thành

“…We consider an analogue of the Lieb–Thirring inequality for quantum systems with homogeneous repulsive interaction potentials, but without the antisymmetry…”
Get full text

Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations by Nam, Phan Thành, Napiórkowski, Marcin, Solovej, Jan Philip

“…We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the…”
Get full text

A Proof of the Lieb–Thirring Inequality via the Besicovitch Covering Lemma by Nam, Phan Thành

“…We give a proof of the Lieb–Thirring inequality on the kinetic energy of orthonormal functions by using a microlocal technique, in which the uncertainty and…”
Get full text