Another New Solvable Many-Body Model of Goldfish Type ?

@inproceedings{Calogero2012AnotherNS,
  title={Another New Solvable Many-Body Model of Goldfish Type ?},
  author={Francesco Calogero},
  year={2012}
}
A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (“acceleration equal force”) featuring one-body and twobody velocity-dependent forces “of goldfish type” which determine the motion of an arbitrary number N of unit-mass point-particles in a plane. The N (generally complex ) values zn(t) at time t of the N coordinates of these moving particles are given by the N eigenvalues of a time-dependent N ×N matrix U(t) explicitly known in terms… CONTINUE READING

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