Pseudo-Bosons from Landau Levels

Details Pseudo-Bosons from Landau Levels Pseudo-Bosons from Landau Levels

2010-12-07

arxiv.org/abs/1012.1419v2

SIGMA 6 (2010), 093, 9 pages

Physics

Mathematical Physics

Proceedings of the Workshop "Supersymmetric Quantum Mechanics and Spectral Design", Benasque, 2010

Scientific paper

10.3842/SIGMA.2010.093

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.

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