An inverse problem for a class of diagonal Hamiltonians

Masatoshi Suzuki

Published 2019-07-18Version 1

Hamiltonians are 2-by-2 positive semidefinite real symmetric matrix valued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a first-order system consisting of ordinary differential equations parametrized by complex numbers attached to a given Hamiltonian, under certain conditions for the solutions. This inverse problem is a generalization of the inverse problem for a class of two-dimensional Hamiltonian systems.