Classical and Quantum Dynamics of Noncanonically Coupled Oscillators and Lie Superalgebras
نویسنده
چکیده
The classical and quantum dynamics of noncanonically coupled oscillators is investigated in its relation to Lie superalgebras. It is shown that the quantum dynamics admits a hidden (super)hamiltonian formulation and, hence, preserves the initial operator relations.
منابع مشابه
On the Dynamics of Noncanonically Coupled Oscillators and Its Hidden Superstructure
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 näıve quantization of the anharm...
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