6533b827fe1ef96bd1285dd2
RESEARCH PRODUCT
Weak commutation relations of unbounded operators: Nonlinear extensions
Fabio BagarelloCamillo TrapaniAtsushi Inouesubject
Pure mathematicsCommutatorCommutationHilbert spaceFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Extension (predicate logic)Terminologysymbols.namesakeNonlinear systemSettore MAT/05 - Analisi MatematicaUnbounded operatorsProduct (mathematics)symbolsCommutationRelation (history of concept)Settore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsdescription
We continue our analysis of the consequences of the commutation relation $[S,T]=\Id$, where $S$ and $T$ are two closable unbounded operators. The {\em weak} sense of this commutator is given in terms of the inner product of the Hilbert space $\H$ where the operators act. {We also consider what we call, adopting a physical terminology}, a {\em nonlinear} extension of the above commutation relations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-09-03 | Journal of Mathematical Physics |