Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory

NAM, Phan Thanh and Napiórkowski MARCIN. Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory. In Alessandro Michelangeli, Gianfausto Dell'Antonio. Advances in Quantum Mechanics. neuveden: Springer. p. 223-238. 18. ISBN 978-3-319-58903-9. doi:10.1007/978-3-319-58904-6_13. 2017.

Basic information

• Original name: Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory
• Authors: NAM, Phan Thanh (704 Viet Nam, guarantor, belonging to the institution) and Napiórkowski MARCIN (616 Poland).
• Edition: neuveden, Advances in Quantum Mechanics, p. 223-238, 16 pp. 18, 2017.
• Publisher: Springer

Other information

• Original language: English
• Type of outcome: Chapter(s) of a specialized book
• Field of Study: 10100 1.1 Mathematics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• Publication form: printed version "print"
• RIV identification code: RIV/00216224:14310/17:00100146
• Organization unit: Faculty of Science
• ISBN: 978-3-319-58903-9
• Doi: http://dx.doi.org/10.1007/978-3-319-58904-6_13
• UT WoS: 000444771500013
• Keywords in English: Bogoliubov approximation; Bose-Einstein condensation; Many body quantum dynamics
• Tags: NZ, rivok, topvydavatel

Abstract

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.