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We provide an exact Egorov-type formula, given by a convergent expansion in the semi-classical parameter ε > 0, for the propagation of a certain class of analytic Wick observables with super-exponentially decaying coefficients, under the action of a time-dependent quadratic Hamiltonian. This work generalizes a result established by S. Breteaux for polynomial symbols, and includes the spatially cutoff P(φ)₂ model, as well as a variant of the Höegh-Krohn model.
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Julien Malartre (2026) studied this question.
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