12 citations · 22 across the 6 of their papers we have counts for
6 papers
Eigenstates of CQ*-algebras
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani +1
Motivated by some recent results, we consider the notion of eigenstate (and eigenvalue) for an element of a CQ*-algebras and the consequences on algebraic quantum dynamics and…
Sesquilinear forms as eigenvectors in quasi *-algebras, with an application to ladder elements
Fabio Bagarello, Hiroshi Inoue, Salvatore Triolo
We consider a particular class of sesquilinear forms on a {Banach quasi *-algebra} $(\A[\|.\|],\Ao[\|.\|_0])$ which we call {\em eigenstates of an element} $a\in\A$, and we deduce…
Coordinate representation for non Hermitian position and momentum operators
F. Bagarello, F. Gargano, S. Spagnolo +1
In this paper we undertake an analysis of the eigenstates of two non self-adjoint operators and similar, in a suitable sense, to the self-adjoint position and mom…
Some invariant biorthogonal sets with an application to coherent states
F. Bagarello, S. Triolo
We show how to construct, out of a certain basis invariant under the action of one or more unitary operators, a second biorthogonal set with similar properties. In particular, we d…
An invariant analytic orthonormalization procedure with applications
F. Bagarello, M. R. Abdollahpour, S. Triolo
We apply the orthonormalization procedure previously introduced by two of us and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Ga…
An invariant analytic orthonormalization procedure with an application to coherent states
F. Bagarello, S. Triolo
We discuss a general strategy which produces an orthonormal set of vectors, stable under the action of a given set of unitary operators , , starting from a fixed…