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A convenient expression of the time-derivative,of arbitrary order k,of the zero zn(t) of a time-dependent polynomial pN(z;t) of arbitrary degree N in z,and solvable dynamical systems |
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| Authors: | Mario Bruschi Francesco Calogero | |
| Institution: | 1. Physics Department, University of Rome “La Sapienza”, Italy;2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy | |
| Abstract: | Let pN (z; t) be a (monic) time-dependent polynomial of arbitrary degree N in z, and let zn ≡ zn (t) be its N zeros:   | |
| Keywords: | time-derivatives of time-dependent polynomials time-derivatives of the zeros of time-dependent polynomials solvable dynamical systems solvable many-body problems isochronous many-body problems | |