On the dynamics of noncanonically coupled oscillators and its hidden superstructure

Details On the dynamics of noncanonically coupled oscillators and its hidden superstructure On the dynamics of noncanonically coupled oscillators and its hidden superstructure

1995-03-25

arxiv.org/abs/solv-int/9503003v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

revised version -- refs are updated

Scientific paper

The classical and quantum dynamics of the noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic oscillators, the quantum one is well--defined in the harmonic case, admits a hidden (super)Hamiltonian formulation, and thus, preserves the initial operator relations, whereas a na\"\i ve quantization of the anharmonic case meets with principal difficulties.

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