This article is cited in 2 papers

Pseudo-Bosons from Landau Levels

Fabio Bagarello

Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria, Università di Palermo, I-90128 Palermo, Italy

Abstract: We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and annihilation operators cannot give rise to pseudo-bosons.

Keywords: non-hermitian Hamiltonians; pseudo-bosons.

MSC: 81Q65; 65H17

Received: October 25, 2010; in final form December 2, 2010; Published online December 12, 2010

Language: English

DOI: 10.3842/SIGMA.2010.093

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ArXiv: 1012.1419