The information manifold for relatively bounded forms
Mathematical Physics
2007-05-23 v2 Functional Analysis
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/9910035,
title = {The information manifold for relatively bounded forms},
author = {R. F. Streater},
journal= {arXiv preprint arXiv:math-ph/9910035},
year = {2007}
}
Comments
27 pages LATEX; to appear in the Bogoliubov Memorial Volume, ed A. A. Slavnov, Moscow 2000