Exact solutions for classical few-body systems from the multichannel quantum inverse problem

B. N. Zakhariev; V. M. Chabanov

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Exact solutions for classical few-body systems from the multichannel quantum inverse problem

B. N. Zakhariev·V. M. Chabanov

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Abstract

A surprising "duality" of the Newton equation with time-dependent forces and the stationary Schroedinger equation is discussed. Wide classes of exact solutions not known before for few-body Newton equations are generated directly from exactly solvable multichannel models discovered in quantum mechanics due to the inverse problem and the supersymmetry (SUSYQ) approach. The application of this duality to the control of the stability (bifurcations) of classical motions is suggested.

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B. N. Zakhariev, V. M. Chabanov. 2000-12-07. Exact solutions for classical few-body systems from the multichannel quantum inverse problem. https://arxiv.org/abs/quant-ph/0012034

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