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| HAL: hal-00739315, version 1 |
| ADS Bibliographic id: 2010JMP....51l3502A |
| DOI: 10.1063/1.3514196 |
| Detailed view |  Export this paper |
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| Journal of Mathematical Physics 51 (2010) 123502 |
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| Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons |
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| S. Twareque AliF. BagarelloJ.-P. Gazeau1 |
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| (2010-12) |
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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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| 1: | APC - AstroParticule et Cosmologie |
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| APC - THEORIE |
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| Subject | : | Physics/Mathematical Physics Mathematics/Mathematical Physics |
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| boson systems – harmonic oscillators – Landau levels – Solutions of wave equations: bound states – Boson systems |
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| hal-00739315, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00739315 | |
| oai:hal.archives-ouvertes.fr:hal-00739315 | |
| From: Alina Deniau | |
| Submitted on: Sunday, 7 October 2012 19:14:25 | |
| Updated on: Wednesday, 10 October 2012 15:55:08 | |
