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@inbook{1409664,
author = {Nam, Phan Thanh and Marcin, Napiórkowski},
address = {neuveden},
booktitle = {Advances in Quantum Mechanics},
doi = {http://dx.doi.org/10.1007/978-3-319-58904-6_13},
editor = {Alessandro Michelangeli, Gianfausto Dell'Antonio},
keywords = {Bogoliubov approximation; Bose-Einstein condensation; Many body quantum dynamics},
howpublished = {tištěná verze "print"},
language = {eng},
location = {neuveden},
isbn = {978-3-319-58903-9},
pages = {223-238},
publisher = {Springer},
title = {Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory},
year = {2017}
}
TY - CHAP
ID - 1409664
AU - Nam, Phan Thanh - Marcin, Napiórkowski
PY - 2017
TI - Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory
VL - 18
PB - Springer
CY - neuveden
SN - 9783319589039
KW - Bogoliubov approximation
KW - Bose-Einstein condensation
KW - Many body quantum dynamics
N2 - 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.
ER -
NAM, Phan Thanh a Napiórkowski MARCIN. Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory. In Alessandro Michelangeli, Gianfausto Dell'Antonio. \textit{Advances in Quantum Mechanics}. neuveden: Springer, 2017, s.~223-238. 18. ISBN~978-3-319-58903-9. Dostupné z: https://dx.doi.org/10.1007/978-3-319-58904-6\_{}13.
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