It is shown that—in analogy to what has been recently suggested for a quantum n-level system—in a multimode analysis of the free electron laser (FEL) Hamiltonian picture, one can use the (n2−1)-dimensional vector F↘ of SU(n) to describe the main FEL dynamics. The FEL coherence properties are discussed by this group-theoretical approach, and a critical analysis of related Casimir invariants and conservation laws is given.
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Dattoli et al. (1985) studied this question.
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