The analytic quantum information manifold
| dc.creator | Streater, R. F. | |
| dc.date | 1999-10-22 | |
| dc.date | 1999-10-27 | |
| dc.date.accessioned | 2026-07-07T04:33:01Z | |
| dc.date.available | 2026-07-07T04:33:01Z | |
| dc.description | Let H be a self-adjoint operator such that exp(-aH) is of trace class for some a<1. Let V be a symmetric operator, Kato bounded relative to H. We show that log Tr[exp(-H+xV)] is a real analytic function of x in a hood of x=0. We show that the Gibbs states of H+xV form a real analytic Banach manifold. This work has been extended in math-ph/9910031. | |
| dc.description | 12 pages LATEX; to appear in "Stochastic processes, physics and geometry: new interplays"; eds. F. Gesztesy, S. Paycha and H. Holden. Canad. Math. Soc. In this replacement, I have made clear that it is the partition function that possesses a convergent power series with the given radius of convergence. The free-energy is real analytic only in an unspecified hood of the real axis | |
| dc.identifier | https://arxiv.org/abs/math-ph/9910036 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9910036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58419 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Functional Analysis | |
| dc.subject | 58B20;53C80 | |
| dc.title | The analytic quantum information manifold | |
| dc.type | text |