6 papers
A pseudo-bosonic Klein-Gordon field with finite two-points function
Fabio Bagarello
We introduce a class of pseudo-bosonic Klein-Gordon fields in 1+1 dimensions and we discuss some of their properties. This work originates from non Hermitian quantum mechanics and…
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…
-product of distributions, with applications
Fabio Bagarello
We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of so…
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…
On Positive Vectors in Indefinite Inner Product Spaces
Fabio Bagarello, Sergiusz Kuzel
Let be a linear space equipped with an indefinite inner product . Denote by the nonlinear set of…
A new family of ladder operators for macroscopic systems, with applications
Fabio Bagarello
In a series of recent scientific contributions the role of bosonic and fermionic ladder operators in a macroscopic realm has been investigated. Creation, annihilation and number op…