$(H,\rho)$--induced political dynamics: facets of the disloyal attitudes into the public opinion

TL;DR

This paper introduces a mathematical model using fermionic operators to simulate the influence of political behaviors and opportunistic attitudes on public opinion dynamics, capturing complex social interactions.

Contribution

It presents a novel $(H, ho)$--induced dynamics framework applying fermionic operators to model political system evolution with turncoat behaviors and politician influence.

Findings

Model successfully captures political attitude shifts.

Incorporates periodic adjustments reflecting political environment changes.

Provides a new mathematical approach to political opinion dynamics.

Abstract

A simple model, suitable to describe the dynamics of a political system consisting of three macro--groups affected by turncoat--like behaviors and the influence of the opportunistic attitudes of politicians on voters' opinion, is presented. The model is based on raising and lowering fermionic operators whose dynamics is ruled by a suitable quadratic Hamiltonian operator with the addition of specific rules (depending on the variations of the mean values of the observables) able to adjust periodically the model to the political environment, \emph{i.e.}, we move in the framework of the so called $(H,\rho)$--induced dynamics approach.