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- W2415676968 abstract "Our main goal in this paper is to prove existence (and uniqueness) of the quantum propagator for time dependent quantum Hamiltonians $hat H(t)$ when this Hamiltonian is perturbed with a quadratic white noise $dot{beta}hat K$. $beta$ is a continuous function in time $t$, $dot beta$ its time derivative and $K$ is a quadratic Hamiltonian. $hat K$ is the Weyl quantization of $K$. For time dependent quadratic Hamiltonians $H(t)$ we recover, under less restrictive assumptions, the results obtained in cite{bofu, du}.In our approach we use an exact Hermann Kluk formula cite{ro2} to deduce a Strichartz estimate for the propagator of $hat H(t) +dot beta K$. This is applied to obtain local and global well posedness for solutions for non linear Schrodinger equations with an irregular time dependent linear part." @default.
- W2415676968 created "2016-06-24" @default.
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- W2415676968 date "2016-01-01" @default.
- W2415676968 modified "2023-10-14" @default.
- W2415676968 title "Irregular time dependent perturbations of quantum Hamiltonians" @default.
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- W2415676968 hasPublicationYear "2016" @default.
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