Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time - Sorbonne Université
Journal Articles Journal of Physics A: Mathematical and General (1975 - 2006) Year : 1997

Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time

F Calogero
  • Function : Author

Abstract

A Hamiltonian is explicitly exhibited, whose equations of motion yield the time evolution of the n zeros, , of a polynomial of degree n in z, , when its coefficients oscillate, , or evolve in some other Hamiltonian manner.

Dates and versions

hal-01403490 , version 1 (26-11-2016)

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Cite

F Calogero, Jean-Pierre Françoise. Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Journal of Physics A: Mathematical and General (1975 - 2006), 1997, 30 (1), pp.211 - 218. ⟨10.1088/0305-4470/30/1/015⟩. ⟨hal-01403490⟩
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