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| Titre : |
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Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons |
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| Auteur(s) : |
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S. Twareque Ali, F. Bagarello, J.-P. Gazeau1 |
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| Laboratoire : |
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| équipe(s) de recherche : |
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APC - THEORIE |
| Résumé : |
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In a series of recent papers, one of us has analyzed in some details a class of elementary excitations called pseudo-bosons. They arise from a special deformation of the canonical commutation relation [a, a†] = 11, which is replaced by [a, b] = 11, with b not necessarily equal to a†. Here, after a two-dimensional extension of the general framework, we apply the theory to a generalized version of the two-dimensional Hamiltonian describing Landau levels. Moreover, for this system, we discuss coherent states and we deduce a resolution of the identity. We also consider a different class of examples arising from a classical system, i.e., a damped harmonic oscillator. |
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Langue du texte
intégral : |
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Anglais |
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| Journal : |
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| Journal of Mathematical Physics (J. Math. Phys.) |
| Publisher |
American Institute of Physics (AIP) |
| ISSN |
0022-2488 |
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| Audience : |
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internationale |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Date de publication : |
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12/2010 |
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| Volume : |
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51 |
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| Page, identifiant, ... : |
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123502 |
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| Mots Clés : |
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boson systems – harmonic oscillators – Landau levels – Solutions of wave equations: bound states – Boson systems |
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