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math.AP2018
Semiclassical analysis of dispersion phenomena
Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by solutions of a semiclassical Schr{ö}dinger-type equation in R d. We describe quanti…
math.AP2018
Wigner measures and effective mass theorems
Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
We study a semi-classical Schr{ö}dinger equation which describes the dynamics of an electron in a crystal in the presence of impurities. It is well-known that under suitable assump…