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most citedSpectral asymptotics and Lamé spectrum for coupled particles in periodic potentials

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math.DS2021★ 2 cited

Spectral asymptotics and Lamé spectrum for coupled particles in periodic potentials

Ki Yeun Kim, Mark Levi, Jing Zhou

We make two observations on the motion of coupled particles in a periodic potential. Coupled pendula, or the space-discretized sine-Gordon equation is an example of this problem. L…