6533b835fe1ef96bd129f6b6
RESEARCH PRODUCT
Examples of pseudo-bosons in quantum mechanics
Fabio Bagarellosubject
PhysicsQuantum PhysicsRiesz representation theoremquantum mechanicsFOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)pseudo-bosonConnection (mathematics)Quantum mechanicsBiorthogonal systemSupersymmetric quantum mechanicsQuantum Physics (quant-ph)Quantum statistical mechanicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsHarmonic oscillatorBosondescription
We discuss two physical examples of the so-called {\em pseudo-bosons}, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called {\em extended harmonic oscillator} and the {\em Swanson model} satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 | Physics Letters A |