Classical and quantum coupled oscillators: symplectic structure
classification
🪐 quant-ph
keywords
classicalcoupledoscillatorsquantumallowedconsiderdevelopeddiagonalization
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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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