On the reconstruction of the macroobservable
Tóm tắt
The physical implications of the embedding method recently proposed as the basic concept for a formulation of the general relationship between classical and quantum mechanical modes of description of macroscopic systems are further examined. A conceptual analysis of the idea of a macroobservable is given. A very general assumption on the macroobservables, called the thermodynamic uncertainty principle, leads then to a proposal for a formal reconstruction prescription for the macroobservables. The implications of this reconstruction method for the formal structure of quantum statistical mechanics are discussed.
Tài liệu tham khảo
Carlo Cercignani,Mathematical Methods in Kinetic Theory (Plenum Press, 1969).
G. Ludwig,Einführung in die Grundlagen der Theoretischen Physik, Vol. 4 (BerteIsmann Universitätsverlag).
L. Boltzmann,Über die Unentbehrlichkeit der Atomistik in der Naturwissenschaft (Populäre Schriften, Ambrosius Barth, Leipzig, 1905).
G. Ludwig, inProceedings of the International School of Physics “Enrico Fermi” Varenna, Italy, 1960 (Academic Press, New York, 1961).
G. Ludwig, inThe Uncertainty Principle and Foundation of Quantum Mechanics, W. C. Price and S. S. Chissick, eds. (Wiley, London, 1977).
E. G. D Cohen and W. Thirring, eds.,The Boltzmann Equation. Acta Phys. Austriaca, Suppl. X (Springer-Verlag, Vienna, 1973).
O. Melsheimer,Found. Phys. 9, 193 (1979).
A. Einstein, B. Podolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).
H. Araki and E. J. Woods,J. Math. Phys. 4, 637 (1963).
G. Ludwig,Makroskopische Systeme und Quantenmechanik (Notes in Mathematical Physics, No. 5; University of Marburg, 1972).
L. Lanz, inThe Uncertainty Principle and Foundation of Quantum Mechanics, W. C. Price and S. S. Chissick, eds. (Wiley, London, 1977).
J. Kluvanek and G. Knowles,Vector Measures and Control Systems (North-Holland, 1976).
C. M. Edwards,Comm. Math. Phys. 20, 26 (1971).
G. Ludwig,Einführung in die Grundlagen der Theoretischen Physik, Vol. 3 (Braunschweig, Vieweg, 1976).
J. Kluvanek,J. Funct. Anal. 31, 316 (1976).
G. Choquet,Lectures on Analysis, Vols. I–III (Benjamin, 1969).
E. A. Alfsen,Compact Convex Sets and Boundary Integrals (Springer Verlag, Berlin, 1971).
H. H. Schäfer,Topological Vector Spaces (Macmillan, New York, 1966).
J. Kupka,Trans. Am. Math. Soc. 169, 197 (1972).
N. Dinculeanu,Vector Measures (Pergamon Press, 1967).
S. Fujity,Introduction to Non-Equilibrium Quantum Statistical Mechanics (Saunders, Philadelphia, 1966).
D. Massignon,Mécanique statistique des fluides (Dunod, Paris, 1957).