A generalized discrete self-trapping (DST) equation, which allows adjustment of the degree of nonlinearity is investigated both classically and quantum mechanically. Such higher degrees of nonlinearity arise in the boson representation of spin systems. With two freedoms, our system is closely related to the Feynman top. The Hamiltonian structure and classical motion are discussed in detail. Previous descriptions of the classical problem are shown to be special cases of the general formalism presented here.
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Scott et al. (1990) studied this question.
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