Displaying similar documents to “An algorithm for quantum propagation through electron level crossings.”

High frequency limit of Helmholtz equations: the case of a discontinuous index

Elise Fouassier (2006)

Journées Équations aux dérivées partielles

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In this text, we compute the high frequency limit of the Hemholtz equation with source term, in the case of a refraction index that is discontinuous along a sharp interface between two unbounded media. The asymptotic propagation of energy is studied using Wigner measures.

On the uniqueness of ground states of non-local equations

Rupert L. Frank (2011)

Journées Équations aux dérivées partielles

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We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.