Asymptotic Properties of Solutions to 3-particle Schrödinger Equations

Hiroshi Isozaki
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Hiroshi Isozaki: Graduate School of Science, Osaka University, Department of Mathematics

A chapter in New Analytic and Geometric Methods in Inverse Problems, 2004, pp 291-307 from Springer

Abstract: Abstract We construct a generalized Fourier transformation. F(λ) associated with the 3-body Schrödinger operator H = −△ + ∑ 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.

Keywords: Asymptotic Expansion; Asymptotic Property; Spherical Wave; Resolvent Estimate; Asymptotic Completeness (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-08966-8_9

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DOI: 10.1007/978-3-662-08966-8_9

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