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.


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
Full Text: DOI


[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
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