Classical and quantum coupled oscillators: symplectic structure
Quantum Physics
2009-11-11 v3
Abstract
We consider a set of N linearly coupled harmonic oscillators and show that the diagonalization of this problem can be put in geometrical terms. The matrix techniques developed here allowed for solutions in both the classical and quantum regimes.
Cite
@article{arxiv.quant-ph/0507140,
title = {Classical and quantum coupled oscillators: symplectic structure},
author = {A. R. Bosco de Magalhães and C. H. d'Ávila Fonseca and M. C. Nemes},
journal= {arXiv preprint arXiv:quant-ph/0507140},
year = {2009}
}
Comments
27 pages, 6 figures