activity
20162022
most citedCoordinate representation for non Hermitian position and momentum operators

12 citations · 19 across the 4 of their papers we have counts for

collaborators

12 papers

quant-ph20223 cited

Bi-coherent states as generalized eigenstates of the position and the momentum operators

Fabio Bagarello, Francesco Gargano

In this paper we show that the position and the derivative operators, and , can be treated as ladder operators connecting the various vectors of two biorthonormal…

q-bio.PE20204 cited

Modeling epidemics through ladder operators

F. Bagarello, F. Gargano, F. Roccati

We propose a simple model of spreading of some infection in an originally healthy population which is different from other models existing in the literature. In particular, we use…

math-ph2020

Eigenvalues of non-hermitian matrices: a dynamical and an iterative approach. Application to a truncated Swanson model

Fabio Bagarello, Francesco Gargano

We propose two different strategies to find eigenvalues and eigenvectors of a given, not necessarily Hermitian, matrix . Our methods apply also to the case of complex eigenvalue…

math-ph2019

Reply to Comment on "A no-go result for the quantum damped harmonic oscillator"

F. Bagarello, F. Gargano, F. Roccati

In a recent paper, \cite{deguchi}, Deguchi and Fujiwara claim that our results in \cite{BGR} are wrong, and compute what they claim is the square integrable vacuum of their annihil…

math-ph2019

Tridiagonality, supersymmetry and non self-adjoint Hamiltonians

F. Bagarello, F. Gargano, F. Roccati

In this paper we consider some aspects of tridiagonal, non self-adjoint, Hamiltonians and of their supersymmetric counterparts. In particular, the problem of factorization is discu…

quant-ph2019

A no-go result for the quantum damped harmonic oscillator

Fabio Bagarello, Francesco Gargano, Federico Roccati

In this letter we show that it is not possible to set up a canonical quantization for the damped harmonic oscillator using the Bateman lagrangian. In particular, we prove that no s…