Asymptotic Properties of Solutions to 3-Particle Schrödinger Equations

摘要

We construct a generalized Fourier transformation ℱ(λ) associated with the 3-body Schrödinger operator H=−Δ+Σ a V a (x a ) and characterize all solutions of (H−λ)u= 0 in the Agmon–Hörmander space ℬ* as the image of ℱ(λ)*. These stationary solutions admit asymptotic expansions in ℬ* in terms of spherical waves associated with scattering channels.