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20032024
most citedSecond order perturbation theory for embedded eigenvalues

30 citations · 77 across the 23 of their papers we have counts for

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math-ph2024

Scattering theory for long-range potentials

K. Ito, E. Skibsted

We develop a complete stationary scattering theory for Schrödinger operators on , , with long-range potentials. This extends former results in the litera…

math-ph2023★ 2 cited

Stationary completeness: the -body short-range case

Erik Skibsted

For a general class of -body Schrödinger operators with short-range pair-potentials the wave and scattering matrices as well as the restricted wave operators are all defined at…

math-ph2023

Spectral analysis of -body Schrödinger operators at two-cluster thresholds

Erik Skibsted, Xue Ping Wang

This book provides a systematic study of spectral and scattering theory for many-body Schrödinger operators at two-cluster thresholds. While the two-body problem (reduced after sep…

math-ph2022

Green functions and completeness; the -body problem revisited

Erik Skibsted

Within the class of Derezi{ń}ski-Enss pair-potentials which includes Coulomb potentials a stationary scattering theory for -body systems was recently developed \cite {Sk1}. In p…

math-ph2022★ 2 cited

Strong radiation condition bounds

K. Ito, E. Skibsted

We construct solutions to the eikonal equation for a class of long-range potentials, derive strong radiation condition bounds for the corresponding Schrödinger operator and apply t…

math-ph2020

Stationary scattering theory for -body Stark operators, II

K. Ito, E. Skibsted

We study and develop the stationary scattering theory for a class of one-body Stark Hamiltonians with short-range potentials, including the Coulomb potential, continuing our study…