On the dynamics of noncanonically coupled oscillators and its hidden superstructure
solv-int
2008-02-03 v3 Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.solv-int/9503003,
title = {On the dynamics of noncanonically coupled oscillators and its hidden superstructure},
author = {Denis V. Juriev},
journal= {arXiv preprint arXiv:solv-int/9503003},
year = {2008}
}
Comments
revised version -- refs are updated