Periodic coherent states decomposition and quantum dynamics on the flat torus

Published 4 Nov 2019 in math-ph and math.MP | (1911.01338v2)

Abstract: We provide a result on the coherent states decomposition for functions in $L² (\Bbb T^n)$ where $\Bbb Tⁿ := (\Bbb R / 2\pi \Bbb Z)^n$. Suddenly, we study such a decomposition with respect to the quantum dynamics related to semiclassical elliptic Pseudodifferential operators, and we prove a related invariance result.

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Lorenzo Zanelli

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