Effective dynamics of interacting bosons: Quasi-low-dimensional gases and higher order corrections to the mean-field description

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Effective dynamics of interacting bosons: Quasi-low-dimensional gases and higher order corrections to the mean-field description

Boßmann, Lea
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URI: http://hdl.handle.net/10900/93634
http://nbn-resolving.de/urn:nbn:de:bsz:21-dspace-936349
http://dx.doi.org/10.15496/publikation-35019
http://nbn-resolving.org/urn:nbn:de:bsz:21-dspace-936340
Dokumentart: PhDThesis
Date: 2019-10-14
Language: English
Faculty: 7 Mathematisch-Naturwissenschaftliche Fakultät
Department: Mathematik
Advisor: Teufel, Stefan (Prof. Dr.)
Day of Oral Examination: 2019-10-11
DDC Classifikation: 510 - Mathematics
530 - Physics
Keywords: Mathematische Physik
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Abstract:

We study the dynamics of quantum many-body systems of interacting bosons for large particle numbers N. We derive an effective description of the N-body time evolution of quasi-low-dimensional Bose gases and construct an approximation to any order of the dynamics of weakly interacting bosons.

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