We compare bipartite (Euclidean) matching problems in classical and quantum mechanics.
The quantum case is treated in terms of a quantum version of the Wasserstein distance. We …

We consider the Wigner equation corresponding to a nonlinear Schroedinger evolution of
the Hartree type in the semiclassical limit $\hbar\to 0$. Under appropriate assumptions on …

This paper proves variants of the triangle inequality for the quantum analogues of the
Wasserstein metric of exponent 2 introduced in Golse et al.(2016)[13] to compare two …

In this paper we study the semiclassical limit of the Schrodinger equation. Under mild
regularity assumptions on the potential U, which include Born‐Oppenheimer potential …

We prove semiclassical estimates for the Schrödinger-von Neumann evolution with C 1, 1
potentials and density matrices whose square root have either Wigner functions with low …

Since dark matter almost exclusively interacts gravitationally, the phase-space dynamics is
described by the Vlasov-Poisson equation. A key characteristic is its infinite cumulant …

We explore the use of field solvers as approximations of classical Vlasov-Poisson systems.
This correspondence is investigated in both electrostatic and gravitational contexts. We …

In this paper, we model Rogue Waves as localized instabilities emerging from
homogeneous and stationary background wavefields, under NLS dynamics. This is …

We propose a new approach to discretize the von Neumann equation, which is efficient in
the semi-classical limit. This method is first based on the so called Weyl's variables to …

We present several results concerning the semiclassical limit of the time-dependent
Schrödinger equation with potentials whose regularity does not guarantee the uniqueness …