High-temperature expansions of Bures and Fisher information priors

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 6, 2000, Pages 6087-6090

  Slater, Paul B ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HIGH TEMPERATURE PROPERTIES; MATHEMATICAL MODELS; MATRIX ALGEBRA; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY DENSITY FUNCTION; QUANTUM THEORY; RANDOM PROCESSES; THERMAL EXPANSION; DEGREES OF FREEDOM (MECHANICS);

BURES METRIC; HIGH TEMPERATURE EXPANSION; THERMOSTATISTICS;

STATISTICAL MECHANICS; FISHER INFORMATION MATRIX;

BAYESIAN; FISHER INFORMATION; HIGH-TEMPERATURE EXPANSION; INVERSE TEMPERATURES; NUMBER OF DEGREES OF FREEDOM; ONE-RULE; THERMAL SYSTEMS; VOLUME ELEMENTS;

EID: 0034205485     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.6087     Document Type: Article

References (33)

1. B. H. Lavenda, Int. J. Theor. Phys. 27, 451 (1988).
2. B. H. Lavenda, Int. J. Theor. Phys. 34, 615 (1995).
3. B. H. Lavenda, Statistical Physics: A Probabilistic Approach (Wiley, New York, 1991).
4. J. Uffink and J. van Lith, Found. Phys. 29, 655 (1999).
5. P. B. Slater, e-print quant-ph/9711010.
6. P. B. Slater, J. Phys. A 29, L601 (1996).
7. Gh.-S. Paraoanu and H. Scutaru, Phys. Rev. A 58, 869 (1998).
8. L. C. Kwek, C. H. Oh, and X.-B. Wang, J. Phys. A 32, 6613 (1999).
9. M. Hübner, Phys. Lett. A 163, 239 (1992).
10. M. Hübner, Phys. Lett. A 179, 226 (1993).
11. S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994).
12. D. Petz and Sudár, J. Math. Phys. 37, 2662 (1996).
13. X.-B. Wang, C. H. Oh, and L. C. Kwek, Phys. Rev. A 58, 4186 (1998).
14. J. Twamley, J. Phys. A 29, 3723 (1996).
15. S. M. Barnett and P. M. Radmore, Methods in Theoretical Quantum Optics (Clarendon, New York, 1997).
16. M. R. Ubriaco, Phys. Rev. E 55, 291 (1997).
17. X.-B. Wang, C. H. Oh, and L. C. Kwek, J. Phys. A 31, 4329 (1998).
18. P. B. Slater, J. Math. Phys. 37, 2682 (1996).
19. J. M. Bernardo and A. F. M. Smith, Bayesian Theory (Wiley, Chichester, 1994).
20. P. B. Slater, e-print quant-ph/9710057.
21. M. Le Bellac, Quantum and Statistical Field Theory (Clarendon, Oxford, 1991).
22. J. A. Tuszyński and W. Wierzbicki, Am. J. Phys. 59, 555 (1991).
23. B. H. Lavenda, Thermodynamics of Extremes (Albion, Chichester, 1995).
24. A. Aharoni, Introduction to the Theory of Ferromagnetism (Clarendon, Oxford, 1996).
25. S. Yatsuya, T. Hayashi, H. Akoh, E. Nakamura, and T. Akira, Jpn. J. Appl. Phys. 17, 355 (1978).
26. D. C. Brody and L. P. Hughston, J. Math. Phys. 39, 6502 (1998).
27. P. B. Slater, J. Phys. A 29, L271 (1996).
28. F. J. Bloore, J. Phys. A 9, 2059 (1976).
29. P. B. Slater, J. Phys. A 32, 8231 (1999).
30. B. R. Frieden, Physics from Fisher Information: A Unification (Cambridge University Press, Cambridge, England, 1998).
31. B. R. Frieden, A. Plastino, A. R. Plastino, and B. H. Soffer, Phys. Rev. E 60, 48 (1999).
32. J. J. Alvarez and C. Gómez, e-print quant-ph/9910115.
33. D. Voiculescu, Commun. Math. Phys. 155, 71 (1993).