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RESEARCH PRODUCT
Quons, coherent states and intertwining operators
Fabio Bagarellosubject
PhysicsFOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)Intertwining operatorcoherent statesAlgebrasymbols.namesakeIsospectralQuonQuantum mechanicssymbolsCoherent statesHamiltonian (quantum mechanics)Settore MAT/07 - Fisica MatematicaMathematical Physicsdescription
We propose a differential representation for the operators satisfying the q-mutation relation $BB^\dagger-q B^\dagger B=\1$ which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit $q\to1$. Further, we build up non-linear and Gazeau-Klauder coherent states associated to the free quonic hamiltonian $h_1=B^\dagger B$. Finally we construct almost isospectrals quonic hamiltonians adopting the results on intertwining operators recently proposed by the author.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |