2000/12/07 by B. N. Zakhariev, Zakhariev, B. N., V. M. Chabanov +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0012034
5 pages, to appear in Few-Body Systems
arxiv created 2000/12/07 · openalex publication_date 2000/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.