Displaying 1501 – 1520 of 1682

Showing per page

Sur les mesures de Wigner.

Pierre-Louis Lions, Thierry Paul (1993)

Revista Matemática Iberoamericana

We study the properties of the Wigner transform for arbitrary functions in L2 or for hermitian kernels like the so-called density matrices. And we introduce some limits of these transforms for sequences of functions in L2, limits that correspond to the semi-classical limit in Quantum Mechanics. The measures we obtain in this way, that we call Wigner measures, have various mathematical properties that we establish. In particular, we prove they satisfy, in linear situations (Schrödinger equations)...

Currently displaying 1501 – 1520 of 1682