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Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons


Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons

Ali, S. Twareque, Bagarello, F. and Gazeau, Jean Pierre (2010) Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons. Journal of Mathematical Physics, 51 (12). p. 123502. ISSN 00222488

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Official URL: http://dx.doi.org/10.1063/1.3514196


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.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Authors:Ali, S. Twareque and Bagarello, F. and Gazeau, Jean Pierre
Journal or Publication:Journal of Mathematical Physics
Digital Object Identifier (DOI):10.1063/1.3514196
Keywords:boson systems, harmonic oscillators, Landau levels
ID Code:976814
Deposited On:28 Jan 2013 17:27
Last Modified:18 Jan 2018 17:43


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