6533b82efe1ef96bd1293231
RESEARCH PRODUCT
Nonlinear pseudo-bosons
Fabio Bagarellosubject
Series (mathematics)GeneralizationHilbert spacePhysical systemFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)pseudo-bosoncoherent statesTheoretical physicsNonlinear systemsymbols.namesakesymbolsCoherent statesSettore MAT/07 - Fisica MatematicaComputer Science::DatabasesMathematical PhysicsBosonMathematicsdescription
In a series of recent papers the author has introduced the notion of (regular) pseudo-bosons showing, in particular, that two number-like operators, whose spectra are ${\Bbb N}_0:={\Bbb N}\cup\{0\}$, can be naturally introduced. Here we extend this construction to operators with rather more general spectra. Of course, this generalization can be applied to many more physical systems. We discuss several examples of our framework.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-06-01 | Journal of Mathematical Physics |