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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2017 Volume 17, Number 1, Pages 11–21 (Mi dvmg338)

Harmonic oscillator chains with exactly solvable dynamics

A. I. Gudimenko

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The method of Darboux transformation is applied to construct exactly solvable one-dimensional chains of harmonic oscillators.

Key words: Darboux transformation, exactly solvable dynamics, harmonic chains.

UDC: 517.958:531.12, 538.913-405

MSC: Primary 70J99; Secondary 74H45

Received: 01.04.2017



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