dorsal/arxiv
View SchemaExact solutions for classical few-body systems from the multichannel quantum inverse problem
| Authors | B. N. Zakhariev, V. M. Chabanov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012034 |
| URL | https://arxiv.org/abs/quant-ph/0012034 |
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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"date_created": "2026-03-02T18:01:42.430000Z",
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"abstract": "A surprising \"duality\" of the Newton equation with time-dependent forces and\nthe stationary Schroedinger equation is discussed. Wide classes of exact\nsolutions not known before for few-body Newton equations are generated directly\nfrom exactly solvable multichannel models discovered in quantum mechanics due\nto the inverse problem and the supersymmetry (SUSYQ) approach. The application\nof this duality to the control of the stability (bifurcations) of classical\nmotions is suggested.",
"arxiv_id": "quant-ph/0012034",
"authors": [
"B. N. Zakhariev",
"V. M. Chabanov"
],
"categories": [
"quant-ph"
],
"title": "Exact solutions for classical few-body systems from the multichannel quantum inverse problem",
"url": "https://arxiv.org/abs/quant-ph/0012034"
},
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