# Masarykova univerzita

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# Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory

Autoři MARCIN Napiórkowski 2017 Kapitola v knize We review some recent results on the norm approximation to the Schrödinger dynamics. We consider N bosons in R3 with an interaction potential of the form $N^{3\beta \minus 1} w(N \beta (x \minus y))$ with $0 \eq \beta < \frac12$, and show that in the large $N$ limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation.

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