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

S. Twareque Ali F. Bagarello J.-P. Gazeau 1
1 APC - THEORIE
APC - UMR 7164 - AstroParticule et Cosmologie
Abstract : 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.
Document type :
Journal articles
Journal of Mathematical Physics, American Institute of Physics (AIP), 2010, 51, pp.123502. <10.1063/1.3514196>


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Submitted on : Sunday, October 7, 2012 - 7:14:25 PM
Last modification on : Thursday, April 23, 2015 - 2:17:53 PM

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S. Twareque Ali, F. Bagarello, J.-P. Gazeau. Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons. Journal of Mathematical Physics, American Institute of Physics (AIP), 2010, 51, pp.123502. <10.1063/1.3514196>. <hal-00739315>

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