59 citations · 398 across the 59 of their papers we have counts for
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The generalized Wehrl entropy bound in quantitative form
Rupert L. Frank, Fabio Nicola, Paolo Tilli
Lieb and Carlen have shown that mixed states with minimal Wehrl entropy are coherent states. We prove that mixed states with almost minimal Wehrl entropy are almost coherent states…
On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals
Hans G. Feichtinger, Fabio Nicola, S. Ivan Trapasso
In the first part of the paper we provide a survey of recent results concerning the problem of pointwise convergence of integral kernels in Feynman path integral, obtained by means…
On the pointwise convergence of the integral kernels in the Feynman-Trotter formula
Fabio Nicola, S. Ivan Trapasso
We study path integrals in the Trotter-type form for the Schrödinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potenti…
Approximation of Feynman path integrals with non-smooth potentials
Fabio Nicola, S. Ivan Trapasso
We study the convergence in of the time slicing approximation of Feynman path integrals under low regularity assumptions on the potential. Inspired by the custom in Physics a…
Semi-classical Time-frequency Analysis and Applications
Elena Cordero, Maurice de Gosson, Fabio Nicola
This work represents a first systematic attempt to create a common ground for semi-classical and time-frequency analysis. These two different areas combined together provide intere…