The information manifold for relatively bounded forms
Abstract
Description
We construct a Banach manifold of states, which are Gibbs states for potentials that are form-bounded in the sense of Kato relative to the free Hamiltonian. We construct the (+1)-affine structure and the (+1)-affine connection in the sense of Amari.
27 pages LATEX; to appear in the Bogoliubov Memorial Volume, ed A. A. Slavnov, Moscow 2000
27 pages LATEX; to appear in the Bogoliubov Memorial Volume, ed A. A. Slavnov, Moscow 2000