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math-ph2018
Scattering matrices and generalized Fourier transforms in long-range -body problems
Sohei Ashida
We give a definition of scattering matrices based on the asymptotic behaviors of generalized eigenfunctions and show that these scattering matrices are equivalent to the ones defin…
math-ph2018
Propagation Estimates for Two-cluster Scattering Channels of N-body Schrödinger Operators
Sohei Ashida
In this paper we prove propagation estimates for two-cluster scattering channels of N-body Schrödinger operators. These estimates are based on the estimate similar to Mourre's comm…