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, 2017, p. 223-238. 18. ISBN 978-3-319-58903-9. Available from: https://dx.doi.org/10.1007/978-3-319-58904-6_13.

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

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Other information

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

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Abstract

V originále

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.