Ermakov-Lewis Invariant for Two Coupled Oscillators

Ermakov-Lewis Invariant for Two Coupled Oscillators

We show that two coupled time dependent harmonic oscillators with equal frequencies have an invariant that is a generalization of the Ermakov-Lewis invariant for the single time dependent harmonic oscillator.

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Veröffentlicht in:Journal of physics. Conference series 2020-04, Vol.1540 (1), p.12009
Hauptverfasser: Ramos-Prieto, I, Urzúa, A R, Fernández-Guasti, M, Moya-Cessa, H M
Format: Artikel
Sprache:eng
Schlagworte:
Harmonic oscillators
Invariants
Time dependence
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Zusammenfassung:We show that two coupled time dependent harmonic oscillators with equal frequencies have an invariant that is a generalization of the Ermakov-Lewis invariant for the single time dependent harmonic oscillator.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1540/1/012009