EuDML | Browse

Page 1

Displaying 1 – 5 of 5

Prolongement méromorphe de la matrice de diffusion pour les problèmes à $N$ corps à longue portée

Antoine Bommier (1993)

Journées équations aux dérivées partielles

Propagation and local-decay properties for long-range scattering of quantum three-body systems

Monique Combescure (1985)

Annales de l'I.H.P. Physique théorique

Propagation of singularities in many-body scattering

András Vasy (2001)

Annales scientifiques de l'École Normale Supérieure

Propagation of singularities in many-body scattering in the presence of bound states

András Vasy (1999)

Journées équations aux dérivées partielles

In these lecture notes we describe the propagation of singularities of tempered distributional solutions $u \in 𝒮^{'}$ of $(H - λ) u = 0$ , where $H$ is a many-body hamiltonian $H = Δ + V$ , $Δ \geq 0$ , $V = \sum_{a} V_{a}$ , and $λ$ is not a threshold of $H$ , under the assumption that the inter-particle (e.g. two-body) interactions $V_{a}$ are real-valued polyhomogeneous symbols of order $- 1$ (e.g. Coulomb-type with the singularity at the origin removed). Here the term “singularity” provides a microlocal description of the lack of decay at infinity. Our result is then that the...

Properties of the scattering amplitude for electron-atom collisions

J. M. Combes, A. Tip (1984)