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Lie-Trotter formula and Poisson dynamics. (English) Zbl 0970.37063

In case of Maxwell-Bloch equations explicit Poisson integrators are constructed from laser-matter dynamics via the Lie-Trotter formula. The same is done in the case of the Euler equation of the free rigid body and rigid body equations with a spinning rotor.

MSC:

37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems
70H05 Hamilton’s equations
70E17 Motion of a rigid body with a fixed point
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References:

[1] DOI: 10.1103/PhysRevLett.71.3043 · Zbl 0972.65509
[2] DOI: 10.1137/0916010 · Zbl 0821.65048
[3] DOI: 10.1017/S0962492900002282
[4] DOI: 10.1090/S0002-9939-1959-0108732-6
[5] DOI: 10.1086/115978
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.