Marcin Napiórkowski

activity

20112026

most citedOptimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime

42 citations · 137 across the 10 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math-ph2017★ 35 cited

Norm approximation for many-body quantum dynamics: focusing case in low dimensions

Phan Thành Nam, Marcin Napiórkowski

We study the norm approximation to the Schrödinger dynamics of $N$ bosons in $R^{d}$ ( $d = 1, 2$ ) with an interaction potential of the form $N^{d β - 1} w (N^{β} (x - y))$ . Here we are i…

math-ph2017

Fluctuations of $N$ -particle quantum dynamics around the nonlinear Schrödinger equation

Christian Brennecke, Phan Thành Nam, Marcin Napiórkowski +1

We consider a system of $N$ bosons interacting through a singular two-body potential scaling with $N$ and having the form $N^{3 β - 1} V (N^{β} x)$ , for an arbitrary parameter $β\in (0,1…

Norm approximation for many-body quantum dynamics: focusing case in low dimensions

Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation

Fluctuations of $N$ -particle quantum dynamics around the nonlinear Schrödinger equation