Pseudo-Bosons from Landau Levels
arXiv:1012.1419 · doi:10.3842/SIGMA.2010.093
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.
arXiv commentProceedings of the Workshop "Supersymmetric Quantum Mechanics and Spectral Design", Benasque, 2010
References in corpus (8)
- Two families of superintegrable and isospectral potentials in two dimensions
- Intertwined isospectral potentials in an arbitrary dimension
- Examples of Pseudo-bosons in quantum mechanics
- Intertwined Hamiltonians in Two Dimensional Curved Spaces
- Construction of pseudo-bosons systems
- Intertwining operators between different Hilbert spaces: connection with frames
- Number Operator Algebras and deformations of epsilon-algebras
- Modified Landau levels, damped harmonic oscillator and two-dimensional pseudo-bosons