6533b86efe1ef96bd12cbf78
RESEARCH PRODUCT
Non linear pseudo-bosons versus hidden Hermiticity
Miloslav ZnojilFabio Bagarellosubject
Statistics and ProbabilityPhysicsQuantum PhysicsGeneral Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Functional Analysis (math.FA)Mathematics - Functional AnalysisNonlinear systemTheoretical physicsModeling and Simulation46C15 46N50 81Q12 81Q80FOS: Mathematicspseudo-bosonsQuantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaDynamic and formal equivalenceMathematical PhysicsBosondescription
The increasingly popular concept of a hidden Hermiticity of operators (i.e., of their Hermiticity with respect to an {\it ad hoc} inner product in Hilbert space) is compared with the recently introduced notion of {\em non-linear pseudo-bosons}. The formal equivalence between these two notions is deduced under very general assumptions. Examples of their applicability in quantum mechanics are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |