An Operator--like Description of Love Affairs

TL;DR

This paper models love relationships using quantum mechanics-inspired occupation number representation, analyzing simple and complex scenarios like love triangles to understand their dynamic behaviors.

Contribution

It introduces a novel application of quantum mechanics techniques to model and analyze the dynamics of love relationships, including love triangles.

Findings

Linear models exhibit periodic dynamics

Nonlinear models show periodic or quasiperiodic solutions

Analytical conditions for periodicity in love triangles

Abstract

We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions are found. Then we extend the model to a love triangle involving Alice, Bob and a third actress, Carla. Interesting features appear, and in particular we find analytical conditions for the linear model of love triangle to have periodic or quasiperiodic solutions. Numerical solutions are exhibited in the nonlinear case.