On the curvature of a certain riemannian space of matrices

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 3, Issue 2, 2000, Pages 199-212

  Michor, Peter W ^a,b   Petz, Dénes ^c   Andai, Attila ^c  

^a UNIVERSITY OF VIENNA   (Austria)

^b Erwin Schrodinger International Institute for Mathematical Physics   (Austria)

^c BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034419012     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025700000145     Document Type: Article

References (7)

1. J. Dittmann, On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric, quant-phy/9906009.
2. E. Fick and G. Sauermann, The Quantum Statostocs of Dynamic Processes (Springer, 1990).
3. O. Gil-Medrano, P. W. Michor, The Riemannian manifold of all Riemannian metrics, Quaterly J. Math. Oxford 42 (1991) 183-202.
4. F. Hiai, D. Petz and G. Toth, Curvature in the geometry of correlation, Studia Sci. Math. Hung. 32 (1996) 235-249.
5. D. Petz, Geometry of canonical correlation on the state space of a quantum system, J. Math. Phys. 35 (1994) 780-795.
6. D. Petz and Cs. Sudár, Extending the Fisher metric to density matrices, in Geometry in Present Days Science, eds. O. E. Barndorff-Nielsen and E. B. Vendel Jensen (World Scientific, 1999), pp. 21-34.
7. D. Petz and G. Toth, The Bogoliubov inner product in quantum statistics, Lett. Math. Phys. 27 (1993) 205-216.