Karl-Erik Thylwe and H Jürgen Korsch 1998 J. Phys. A: Math. Gen. 31 L279 doi:10.1088/0305-4470/31/14/002
The `Ermakov - Lewis' invariants for coupled linear oscillators
Karl-Erik Thylwe
and H Jürgen Korsch
LETTER TO THE EDITOR
We consider N coupled linear oscillators with time-dependent coefficients. An exact complex amplitude - real phase decomposition of the oscillatory motion is constructed. This decomposition is further used to derive N exact constants of motion which generalize the so-called Ermakov - Lewis invariant of a single oscillator. In the Floquet problem of periodic oscillator coefficients we discuss the existence of periodic complex amplitude functions in terms of existing Floquet solutions.
- PACS
- MSC
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81Q20 Semiclassical techniques including WKB and Maslov methods
- Subjects
- Dates
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Issue 14 (10 April 1998)
Received 9 January 1998, in final form 25 February 1998
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The `Ermakov - Lewis' invariants for coupled linear oscillators
Karl-Erik Thylwe and H Jürgen Korsch 1998 J. Phys. A: Math. Gen. 31 L279
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