Pseudo-Bosons from Landau Levels
We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and annihilation operators cannot give rise to pseudo-bosons.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2010 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146525 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Pseudo-Bosons from Landau Levels / F. Bagarello // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862611055188901888 |
|---|---|
| author | Bagarello, F. |
| author_facet | Bagarello, F. |
| citation_txt | Pseudo-Bosons from Landau Levels / F. Bagarello // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and annihilation operators cannot give rise to pseudo-bosons.
|
| first_indexed | 2025-11-29T00:21:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146525 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T00:21:21Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bagarello, F. 2019-02-09T19:51:48Z 2019-02-09T19:51:48Z 2010 Pseudo-Bosons from Landau Levels / F. Bagarello // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q65; 65H17 DOI:10.3842/SIGMA.2010.093 https://nasplib.isofts.kiev.ua/handle/123456789/146525 We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and annihilation operators cannot give rise to pseudo-bosons. This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html. 
 The author would like to thank A. Andrianov for his kind invitation and the local people in Benasque for their warm welcome. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Pseudo-Bosons from Landau Levels Article published earlier |
| spellingShingle | Pseudo-Bosons from Landau Levels Bagarello, F. |
| title | Pseudo-Bosons from Landau Levels |
| title_full | Pseudo-Bosons from Landau Levels |
| title_fullStr | Pseudo-Bosons from Landau Levels |
| title_full_unstemmed | Pseudo-Bosons from Landau Levels |
| title_short | Pseudo-Bosons from Landau Levels |
| title_sort | pseudo-bosons from landau levels |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146525 |
| work_keys_str_mv | AT bagarellof pseudobosonsfromlandaulevels |