Asymptotic expansion of low-energy excitations for weakly interacting bosons
We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in $1/...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2021-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509421000220/type/journal_article |
| _version_ | 1811156163017834496 |
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| author | Lea Boßmann Sören Petrat Robert Seiringer |
| author_facet | Lea Boßmann Sören Petrat Robert Seiringer |
| author_sort | Lea Boßmann |
| collection | DOAJ |
| description | We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in $1/N$. |
| first_indexed | 2024-04-10T04:46:54Z |
| format | Article |
| id | doaj.art-2289ed51b1914f99a35cd6793288e894 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-04-10T04:46:54Z |
| publishDate | 2021-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-2289ed51b1914f99a35cd6793288e8942023-03-09T12:34:53ZengCambridge University PressForum of Mathematics, Sigma2050-50942021-01-01910.1017/fms.2021.22Asymptotic expansion of low-energy excitations for weakly interacting bosonsLea Boßmann0https://orcid.org/0000-0002-6854-1343Sören Petrat1https://orcid.org/0000-0002-9166-5889Robert Seiringer2https://orcid.org/0000-0002-6781-0521Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria; E-mail: .Department of Mathematics and Logistics, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany; E-mail: . University of Bremen, Department 3 – Mathematics, Bibliothekstr. 5, 28359 Bremen, Germany.Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria; E-mail: .We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in $1/N$.https://www.cambridge.org/core/product/identifier/S2050509421000220/type/journal_article81V7381Q10 |
| spellingShingle | Lea Boßmann Sören Petrat Robert Seiringer Asymptotic expansion of low-energy excitations for weakly interacting bosons Forum of Mathematics, Sigma 81V73 81Q10 |
| title | Asymptotic expansion of low-energy excitations for weakly interacting bosons |
| title_full | Asymptotic expansion of low-energy excitations for weakly interacting bosons |
| title_fullStr | Asymptotic expansion of low-energy excitations for weakly interacting bosons |
| title_full_unstemmed | Asymptotic expansion of low-energy excitations for weakly interacting bosons |
| title_short | Asymptotic expansion of low-energy excitations for weakly interacting bosons |
| title_sort | asymptotic expansion of low energy excitations for weakly interacting bosons |
| topic | 81V73 81Q10 |
| url | https://www.cambridge.org/core/product/identifier/S2050509421000220/type/journal_article |
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