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

Fabio Bagarello, Jean Pierre Gazeau, S. Twareque Ali

Risultato della ricerca: Articlepeer review

21 Citazioni (Scopus)

## Abstract

In a series of recent papers one of us has analyzed insome details a class of elementary excitations called {\empseudo-bosons}. They arise from a special deformation of thecanonical commutation relation $[a,a^\dagger]=\1$, which isreplaced by $[a,b]=\1$, with $b$ not necessarily equal to $a^\dagger$.Here, after atwo-dimensional extension of the general framework, we apply thetheory to a generalized version of the two-dimensional Hamiltoniandescribing Landau levels. Moreover, for this system, we discusscoherent states and we deduce a resolution of the identity. Wealso consider a different class of examples arising from a classical system,i.e. a damped harmonic oscillator.
Lingua originale English 11 Journal of Mathematical Physics 51 Published - 2010

## All Science Journal Classification (ASJC) codes

• Statistical and Nonlinear Physics
• Mathematical Physics