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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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