W. Wreszinski and G. Scharf: "On the relation between classical and quantum statistical mechanics", Commun.Math.Phys. 110(1987) 1--31 33  Home/Search   Document Not in Database   Summary   Related Articles

.... these technical points, notably the proofs of the theorems about convergence of commutators to Poisson brackets, and the convergence of dynamics were beyond the scope of a single journal article, and will therefore be treated in a separate publication [We5] The concluding Section 6 contains previews of such further extensions, and also some remarks about how some simplifying assumptions (like the boundedness of Hamiltonians) can be relaxed. 1.1. Motivation and review of the literature There are basically two reasons for studying the classical limit. The first is concerned with the ....

....statement is essentially what one gets in the version of the present approach based on norm convergences of states [We6] rather than norm 4 convergence of observables. What is missed in this approach are therefore the operator properties (e) and (f) F) Limit of partition functions. Lie,Sim,LS,WS] This aspect of the classical limit is conceptually straightforward, because it only requires the convergence of some numbers. Of course, it covers only a small fraction of the desirable features listed above. Nevertheless some of the techniques developed for this problem, like upper and lower ....

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W. Wreszinski and G. Scharf: "On the relation between classical and quantum statistical mechanics", Commun.Math.Phys. 110(1987) 1--31 33

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