On the curvature of a certain riemannian space of matrices

Peter W. Michor, Dénes Petz, Attila Andai

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Positive definite matrices of trace 1 describe the state space of a finite quantum system. This manifold can be endowed by the physically relevant Bogoliubov-Kubo-Mori inner product as a Riemannian metric. In this paper the curvature tensor and the scalar curvature are computed.

Original languageEnglish
Pages (from-to)199-212
Number of pages14
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume3
Issue number2
DOIs
Publication statusPublished - Jun 2000

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Applied Mathematics

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