On the curvature of a certain Riemannian space of matrices

Authors
Michor, PW Petz, D Andai, A
Citation
Pw. Michor et al., On the curvature of a certain Riemannian space of matrices, INFIN DIMEN, 3(2), 2000, pp. 199-212
Citations number
7
Categorie Soggetti
Mathematics
Journal title
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN journal
02190257 → ACNP
Volume
3
Issue
2
Year of publication
2000
Pages
199 - 212
Database
ISI
SICI code
0219-0257(200006)3:2<199:OTCOAC>2.0.ZU;2-M
Abstract
Positive definite matrices of trace 1 describe the state space of a finite quantum system. This manifold carl be endowed by the physically relevant Bo goliubov-Kubo-Mori inner product as a Riemannian metric. In this paper the curvature tensor and the scalar curvature are computed.