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:English
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
id nasplib_isofts_kiev_ua-123456789-146525
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Pseudo-Bosons from Landau Levels
spellingShingle Pseudo-Bosons from Landau Levels
Bagarello, F.
title_short 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_sort pseudo-bosons from landau levels
author Bagarello, F.
author_facet Bagarello, F.
publishDate 2010
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/146525
citation_txt Pseudo-Bosons from Landau Levels / F. Bagarello // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ.
work_keys_str_mv AT bagarellof pseudobosonsfromlandaulevels
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