An Operator-Like Description of Love Affairs

@article{Bagarello2010AnOD,
  title={An Operator-Like Description of Love Affairs},
  author={Fabio Bagarello and Francesco Oliveri},
  journal={SIAM J. Appl. Math.},
  year={2010},
  volume={70},
  pages={3235-3251}
}
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… 
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References

SHOWING 1-10 OF 23 REFERENCES
Stock markets and quantum dynamics: A second quantized description
Laura and Petrarch: An Intriguing Case of Cyclical Love Dynamics
TLDR
Three ordinary dierential equations are proposed to model the dynamics of love between Petrarch and Laura and show that the poet's emotions followed for about 20 years a quite regular cyclical pattern ranging from the extremes of ecstasy to despair.
A quantum statistical approach to simplified stock markets
Love dynamics: The case of linear couples
Dynamical models of love.
  • J. Sprott
  • Mathematics
    Nonlinear dynamics, psychology, and life sciences
  • 2004
TLDR
This paper examines a sequence of dynamical models involving coupled ordinary differential equations describing the time-variation of the love or hate displayed by individuals in a romantic relationship that start with a linear system of two individuals and advance to love triangles and finally to include the effect of nonlinearities, which are shown to produce chaos.
A Quantum Approach to Stock Price Fluctuations
A simple quantum model explains the Levy-unstable distributions for individual stock returns observed by ref.[1]. The probability density function of the returns is written as the squared modulus of
Quantum Finance
An operatorial approach to stock markets
We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and
Love Affairs and Differential Equations
The purpose of this note is to suggest an unusual approach to the teaching of some standard material about systems of coupled ordinary differential equations. The approach relates the mathematics to
...
1
2
3
...