33 citations · 60 across the 14 of their papers we have counts for
6 papers · 2 filters
An unified approach for the (inverted) quantum harmonic oscillator and the Berry-Keating hamiltonian
Fabio Bagarello, Emanuele Balistreri, Sergey Kuzhel
We propose an unified view to three well known quadratic Hamiltonians widely considered in quantum mechanics, i.e. those of the harmonic oscillator, of the inverted harmonic oscill…
On the Berry-Keating Operator
Fabio Bagarello, Sergiusz Kużel
We review here two different viewpoints on the Berry-Keating operator , whose connection to the Riemann hypothesis remains an intriguing and not yet fully understood questi…
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…