111 citations · 284 across the 47 of their papers we have counts for
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Regularized quantum motion in a bounded set: Hilbertian aspects
Fabio Bagarello, Jean-Pierre Gazeau, Camillo Trapani
It is known that the momentum operator canonically conjugated to the position operator for a particle moving in some bounded interval of the line {(with Dirichlet boundary conditio…
Gibbs states, algebraic dynamics and generalized Riesz systems
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
In PT-quantum mechanics the generator of the dynamics of a physical system is not necessarily a self-adjoint Hamiltonian. It is now clear that this choice does not prevent to get a…
Generalized Riesz systems and quasi bases in Hilbert space
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
The purpose of this article is twofold. First of all, the notion of -quasi basis is introduced for a pair of dense subspaces of Hilbert spaces. This consists of tw…
Biorthogonal vectors, sesquilinear forms and some physical operators
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
Continuing the analysis undertaken in previous articles, we discuss some features of non-self-adjoint operators and sesquilinear forms which are defined starting from two biorthogo…
Locally convex quasi C*-algebras and noncommutative integration
Camillo Trapani, Salvatore Triolo
In this paper we continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm and we…
Operator (quasi-)similarity, quasi-Hermitian operators and all that
Jean-Pierre Antoine, Camillo Trapani
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure generated by unbounded metric operators in a Hilbert space. To that effect, we…