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 pseudobosons.
Bagarello, F. (2010). Pseudo-bosons from Landau levels. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 6 [10.3842/SIGMA.2010.093].
Pseudo-bosons from Landau levels
BAGARELLO, Fabio
2010-01-01
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 pseudobosons.
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