Classical and quantum coupled oscillators: symplectic structure

Details Classical and quantum coupled oscillators: symplectic structure Classical and quantum coupled oscillators: symplectic structure

2005-07-14

arxiv.org/abs/quant-ph/0507140v3

Physics

Quantum Physics

27 pages, 6 figures

Scientific paper

10.1088/0031-8949/74/4/011

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.

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