Abstract
Some topics in quantum statistical mechanics related to theory of operator algebras are reviewed.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
D. Ruelle: Cargése lectures in Physics (ed. D. Kastler, Gordon and Breach, New York, 1970) pp.169–194.
E. Størmer: loc. Cit. pp.195–213.
S. Doplicher and D. Kastler: Comm. Math. Phys. 7 (1968), 1–20.
S. Sakai: Amer. J. Math. 98 (1976), 427–440.
R. F. Streater: Comm. Math. Phys. 6 (1968), 233–247.
D. W. Robinson: Comm. Math. Phys. 7 (1968), 337–348.
D. Ruelle: Statistical Mechanics (Benjamin, New York, 1969).
A. Kishimoto: Comm. Math. Phys. 47 (1976), 25–32.
R.T. Powers and S. Sakai: Comm. Math. Phys. 39 (1975), 273–288.
D. W. Robinson: Comm. Math. Phys. 16 (1970), 290–309.
S. Miracle-Sole and D. W. Robinson: Comm. Math. Phys. 19 (1970), 204–218.
J. Ginibre: Statistical Mechanics and Field Theory (ed. C. DeWitt and R. Stora, Gordon and Breach, New York, 1971) pp.327–427.
Y. M. Suhov: Limit Gibbs state for a class of one-dimensional systems of quantum statistical mechanics, preprint'
O. E. Lanford: Proceedings of the International Congress of Mathematicians ed. R. D. James, Canadian Math. Congress, 1975 vol.2, pp.377–381.
A. Kishimoto: Equilibrium states of a semi-quantum lattice system, to appear in Rep. Math. Phys.
H. Araki: Proceedings of the Second U.S.-Japan Seminar on C*-algebras and Applications to Physics, to be published.
M. Fannes and A. Verbeure: Correlation inequalities and equilibrium states. To appear in Comm. Math. Phys.
G. L. Sewell: KMS conditions and local thermodynamical stability of quantum lattice system II, to appear in Comm. Math. Phys.
H. Araki: C*-Algebras and Their Applications to Statistical Mechanics and Quantum Field Theory. (ed. D. Kastler, North Holand, 1976) pp. 64–100.
R. Haag, D. Kastler and E. B. Trych-Pohlmeyer: Comm. Math. Phys. 38 (1974), 173–193.
D. Kastler and O. Bratteli: Comm. Math. Phys. 46 (1976), 37–42.
H. Araki and A. Kishimoto: Comm. Math. Phys. 52 (1977), 211–232.
H. Araki, D. Kastler, M. Takesaki and R. Haag: Comm. Math. Phys. 53 (1977), 97–134.
A. Kishimoto: On invariant states and the commutant of a group of quasitfree automorphisms of the CAR algebra.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this chapter
Cite this chapter
Araki, H. (1978). Operator algebras and statistical mechanics. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_8
Download citation
DOI: https://doi.org/10.1007/3-540-08853-9_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08853-0
Online ISBN: 978-3-540-35811-4
eBook Packages: Springer Book Archive