4 papers
Lower bounds to eigenvalues of one-electron Hamiltonians
Sohei Ashida
A method for computing lower bounds to eigenvalues of sums of lower semibounded self-adjoint operators is presented. We apply the method to one-electron Hamiltonians. To improve th…
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…
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…
Scattering theory for multistate Schrödinger operators
Sohei Ashida
We study multistate Schrödinger operators related to molecular dynamics. We consider potentials which do not necessarily decay and prove absence of the singular continuous spectrum…