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20162026
most citedCoordinate representation for non Hermitian position and momentum operators

12 citations · 31 across the 13 of their papers we have counts for

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math-ph2026

A Damage-Driven Model for Duchenne Muscular Dystrophy: Early-Stage Dynamics and Invasion Thresholds

Gaetana Gambino, Francesco Gargano, Alessandra Rizzo +1

We introduce a spatially extended mathematical model for Duchenne muscular dystrophy based on a damage-driven paradigm, in which immune recruitment is triggered by tissue injury. T…

math-ph2025

Density matrices and entropy operator for non-Hermitian quantum mechanics

Fabio Bagarello, Francesco Gargano, Lidia Saluto

In this paper we consider density matrices operator related to non-Hermitian Hamiltonians. In particular, we analyse two natural extensions of what is usually called a density matr…

math-ph2024

Coherent States of Graphene Layer with and without a PT-symmetric Chemical Potential

Fabio Bagarello, Francesco Gargano, Lidia Saluto

In this paper we construct different classes of coherent and bicoherent states for the graphene tight-binding model in presence of a magnetic field, and for a deformed version wher…

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…