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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2010
Автор: Bagarello, F.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2010
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146525
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Pseudo-Bosons from Landau Levels / F. Bagarello // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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.
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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