53 citations · 411 across the 36 of their papers we have counts for
36 papers
Turing mechanisms in a multimode open quantum system
Giorgia Comparato, Francesco Gargano, Rosario Lo Franco
We investigate pattern formation in a finite chain of bosonic modes whose dynamics is governed by a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation. The model combines…
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…
From Classical Rationality to Contextual Reasoning: Quantum Logic as a New Frontier for Human-Centric AI in Finance
Fabio Bagarello, Francesco Gargano, Polina Khrennikova
We consider state of the art applications of artificial intelligence (AI) in modelling human financial expectations and explore the potential of quantum logic to drive future advan…
Modeling Epidemics with Memory Effects: an Open Quantum System Approach
Fabio Bagarello, Francesco Gargano, Polina Khrennikova
In this work, we introduce a quantum-inspired epidemic model to study the dynamics of an infectious disease in a population divided into compartments. By treating the healthy popul…
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…
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…
Extended coupled SUSY, pseudo-bosons and weak squeezed states
F Bagarello, F. Gargano, L. Saluto
In this paper we consider squares of pseudo-bosonic ladder operators and we use them to produce explicit examples of eigenstates of certain operators satisfying a deformed $\mathfr…
Spreading of information on a network: a quantum view
F. Bagarello, F. Gargano, M. Gorgone +1
This paper concerns the modeling of the spread of information through a complex, multi-layered network, where the information is transferred from an initial transmitter to a final…
Dynamics for a quantum parliament
F. Bagarello, F. Gargano
In this paper we propose a dynamical approach based on the Gorini-Kossakowski-Sudarshan-Lindblad equation for a problem of decision making. More specifically, we consider what was…
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…
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…
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…
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…
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…
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…
Bi-squeezed states arising from pseudo-bosons
Fabio Bagarello, Francesco Gargano, Salvatore Spagnolo
Extending our previous analysis on bi-coherent states, we introduce here a new class of quantum mechanical vectors, the \emph{bi-squeezed states}, and we deduce their main mathemat…
Quantum mechanical settings inspired by RLC circuits
G. Alicata, F. Bagarello, F. Gargano +1
In some recent papers several authors used electronic circuits to construct loss and gain systems. This is particularly interesting in the context of PT-quantum mechanics, where th…
Non-hermitian operator modelling of basic cancer cell dynamics
F. Bagarello, F. Gargano
We propose a dynamical system of tumor cells proliferation based on operatorial methods. The approach we propose is quantum-like: we use ladder and number operators to describe hea…
--induced dynamics and large time behaviors
F. Bagarello, R. Di Salvo, F. Gargano +1
In some recent papers, the so called -induced dynamics of a system whose time evolution is deduced adopting an operatorial approach, borrowed in part from quan…
Two-dimensional non commutative Swanson model and its bicoherent states
Fabio Bagarello, Francesco Gargano, Salvatore Spagnolo
We introduce an extended version of the Swanson model, defined on a two-dimensional non commutative space, which can be diagonalized exactly by making use of pseudo-bosonic operato…
Coordinate representation for non Hermitian position and momentum operators
F. Bagarello, F. Gargano, S. Spagnolo +1
In this paper we undertake an analysis of the eigenstates of two non self-adjoint operators and similar, in a suitable sense, to the self-adjoint position and mom…
Modeling interactions between political parties and electors
F. Bagarello, F. Gargano
In this paper we extend some recent results on an operatorial approach to the description of alliances between political parties interacting among themselves and with a basin of el…
-induced dynamics and the quantum game of life
F. Bagarello, R. Di Salvo, F. Gargano +1
We propose an extended version of quantum dynamics for a certain system S, whose evolution is ruled by a Hamiltonian , its initial conditions, and a suitable set of {\em rul…
Exceptional Points in a non-Hermitian extension of the Jaynes-Cummings Hamiltonian
Fabio Bagarello, Francesco Gargano, Margherita Lattuca +3
We consider a generalization of the non-Hermitian symmetric Jaynes-Cummings {Hamiltonian, recently introduced for studying optical phenomena with time-dependent phy…