High-Velocity Estimates and Inverse Scattering for Quantum N-Body Systems with Stark Effect
arXiv:1103.6182 · doi:10.1063/1.4757590
Abstract
In an N-body quantum system with a constant electric field, by inverse scattering, we uniquely reconstruct pair potentials, belonging to the optimal class of short-range potentials and long-range potentials, from the high-velocity limit of the Dollard scattering operator. We give a reconstruction formula with an error term.
In this published version we have added remarks and we have edited the paper
References in corpus (9)
- High-Velocity Estimates for the Scattering Operator and Aharonov-Bohm Effect in Three Dimensions
- The Aharonov-Bohm Effect and Tonomura et al. Experiments. Rigorous Results
- The Forced Non-Linear Schroedinger Equation with a Potential on the Half-Line
- Aharonov-Bohm Effect and High-Velocity Estimates of Solutions to the Schrödinger Equation
- The Electric Aharonov-Bohm Effect
- Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes
- Recovering the mass and the charge of a Reissner-Nordström black hole by an inverse scattering experiment
- Gauge Transformations and Inverse Quantum Scattering with Medium-Range Magnetic Fields
- The Initial Value Problem, Scattering and Inverse Scattering, for Non-Linear Schrödinger Equations with a Potential and a Non-Local Non-Linearity