AN OPERATOR-LIKE DESCRIPTION OF LOVE AFFAIRS

作者：Bagarello Fabio^*; Oliveri Francesco

来源：SIAM Journal on Applied Mathematics, 2010, 70(8): 3235-3251.

DOI：10.1137/10079985X

• bosonic operators
• Heisenberg-like dynamics
• dynamical systems
• numerical integration of ordinary differential equations

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.

• 出版日期2010