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quant-ph2025
Inverse problems for the zeros of the Wigner function
Luís Daniel Abreu, Ulysse Chabaud, Nuno Costa Dias +1
We study the nodal (zero) set of the Wigner transform, obtaining a rigidity theorem for the eigenstates of one-dimensional harmonic oscillator. For every , and…
math.PR2025
Analytic continuation of time in Brownian motion. Stochastic distributions approach
Luis Daniel Abreu, Daniel Alpay, Tryphon Georgiou +1
With the use of Hida's white noise space theory space theory and spaces of stochastic distributions, we present a detailed analytic continuation theory for classes of Gaussian proc…