Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 093, 9 pages      arXiv:1012.1419
Contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design”

Pseudo-Bosons from Landau Levels

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

Received October 25, 2010, in final form December 02, 2010; Published online December 12, 2010

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.

Key words: non-hermitian Hamiltonians; pseudo-bosons.

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