3 papers
math.AP2020
Inverse Initial Boundary Value Problem for a Non-linear Hyperbolic Partial Differential Equation
Gen Nakamura, Manmohan Vashisth, Michiyuki Watanabe
In this article we are concerned with an inverse initial boundary value problem for a non-linear wave equation in space dimension . In particular we consider the so called…
math-ph2019
Inverse N-body scattering with the time-dependent Hartree-Fock approximation
Michiyuki Watanabe
We consider an inverse -body scattering problem of determining two potentials---an external potential acting on all particles and a pair interaction potential---from the scatter…
math-ph2019
Time-dependent methods in inverse scattering problems for the Hartree-Fock equation
Michiyuki Watanabe
The inverse scattering theory for many-body systems in quantum mechanics is an important and difficult issue not only in physics---atomic physics, molecular physics and nuclear phy…