Malagutti, Marcello;
Parmeggiani, Alberto;
(2024)
Spectral Asymptotic Properties of Semiregular Non-commutative Harmonic Oscillators.
Communications in Mathematical Physics
, 405
(2)
, Article 46. 10.1007/s00220-024-04934-7.
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Abstract
We study here the spectral Weyl asymptotics for a semiregular system, extending to the vector-valued case results of Helffer and Robert, and more recently of Doll, Gannot and Wunsch. The class of systems considered here contains the important example of the Jaynes–Cummings system that describes light-matter interaction.
| Type: | Article |
|---|---|
| Title: | Spectral Asymptotic Properties of Semiregular Non-commutative Harmonic Oscillators |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00220-024-04934-7 |
| Publisher version: | http://dx.doi.org/10.1007/s00220-024-04934-7 |
| Language: | English |
| Additional information: | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10187747 |
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