7 papers · 1 filter
A position dependent mass Hamiltonian and abstract ladder operators
Fabio Bagarello, Emanuele Balistreri, Antonino Faddetta
We consider the Hamiltonian of a particle in one dimension with a position dependent mass for which we apply the recent strategy of the so-called {\em abstract ladder operators…
New results for Heisenberg dynamics for non self-adjoint Hamiltonians
Fabio Bagarello
In a previous paper we began our analysis on the role of non self-adjoint Hamiltonians in connection with the Heisenberg dynamics for quantum systems. Here, motivated by the growin…
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…
Some Consequences of the Grunewald-O'Halloran Conjecture for Pseudoquonic Operators
Fabio Bagarello, Yanga Bavuma, Francesco G. Russo
Investigating a recent positive solution of a conjecture of Grunewald and O'Halloran for complex finite dimensional nilpotent Lie algebras, we are in the position to find results o…
-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…