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math-ph2026
Localised Davies generators for (pseudo)differential operators
Jeffrey Galkowski, Maciej Zworski
A classical Davies generator provides a Lindbladian for which the Gibbs state is stationary. Its construction involves precise knowledge of the Bohr spectrum or equivalently state…
math-ph2024★ 1 cited
Classical-Quantum correspondence in Lindblad evolution
Jeffrey Galkowski, Zhen Huang, Maciej Zworski
We show that for the Lindblad evolution defined using (at most) quadratically growing classical Hamiltonians and (at most) linearly growing classical jump functions (quantized into…
math-ph2012★ 5 cited
Quantum Ergodicity for a Class of Mixed Systems
Jeffrey Galkowski
We examine high energy eigenfunctions for the Dirichlet Laplacian on domains where the billiard flow exhibits mixed dynamical behavior. (More generally, we consider semiclassical S…