Computing Ground States for Fermi-Bose Mixtures through Efficient Numerical Methods
| dc.date.accessioned | 2023-07-10T11:38:08Z | |
| dc.date.available | 2023-07-10T11:38:08Z | |
| dc.date.issued | 2023-05 | |
| dc.identifier | doi:10.17170/kobra-202305138021 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/14884 | |
| dc.language.iso | eng | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Nonlinear Function Analysis | eng |
| dc.subject | Cold Atoms Quantum Mechanics | eng |
| dc.subject | Numerical Methods | eng |
| dc.subject | Computational Efficiency | eng |
| dc.subject.ddc | 004 | |
| dc.subject.ddc | 510 | |
| dc.subject.ddc | 530 | |
| dc.title | Computing Ground States for Fermi-Bose Mixtures through Efficient Numerical Methods | eng |
| dc.type | Habilitation | |
| dcterms.abstract | In this work, we will first review the Quantum Mechanics theory to derive the main equations. Next, we will analyze these equations by Functional Analysis methods to find conditions for existence, uniqueness, multiplicity, and other properties as positivity. Next, we will review and develop some numerical methods for solving the nonlinear Schrödinger equation, its time version, generalizations with rotational terms, and systems of NLSE (NLSS). We notice that the main problem to run numerical methods is the memory use, which can be a bottleneck for simulations involving very large linear systems. Finally, we will address this problem of Computing Efficiency and learn some techniques and tools to understand code behavior and memory use to improve our methods and study the effect of using numerical libraries. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Ávila, Andrés I. | |
| dcterms.dateAccepted | 2021-11-10 | |
| dcterms.extent | 237 Seiten | |
| dc.contributor.corporatename | Kassel, Universität Kassel, Fachbereich Mathematik und Naturwissenschaften | |
| dc.contributor.referee | Meister, Andreas (Prof. Dr.) | |
| dc.subject.swd | Quantenmechanik | ger |
| dc.subject.swd | Atom | ger |
| dc.subject.swd | Numerisches Verfahren | ger |
| dc.subject.swd | Berechnung | ger |
| dc.type.version | publishedVersion | |
| kup.iskup | false |
Dateien zu dieser Ressource
Das Dokument erscheint in:
-
Habilitationen [3]
Solange nicht anders angezeigt, wird die Lizenz wie folgt beschrieben: Attribution-NonCommercial-NoDerivatives 4.0 International