We adopt the so-called 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 quasi-periodic 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 the love triangle to have periodic or quasi-periodic solutions. Numerical solutions are exhibited in the nonlinear case.

An operator-like description of love affairs

OLIVERI, Francesco
2010

Abstract

We adopt the so-called 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 quasi-periodic 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 the love triangle to have periodic or quasi-periodic solutions. Numerical solutions are exhibited in the nonlinear case.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1905951
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