T. Arai: "Some extensions of the semiclassical limit h ! 0 for Wigner functions on phase space", J.Math.Phys. 36(1995) 622--630  Home/Search   Document Not in Database   Summary   Related Articles

....Classical Limit of Quantum Theory R.F. Werner 1;2 Abstract. For a quantum observable A h depending on a parameter h we define the notion A h converges in the classical limit . The limit is a function on phase space. Convergence is in norm in the sense that A h 0 is equivalent with kA h k 0. The h wise product of convergent observables converges to the product of the limiting phase space ....

....subject, and it requires some justification to add yet another paper to it. I will therefore begin by stating the aims of the present paper more carefully than usual, and proceed to review some of the existing approaches to the classical limit with regard to these aims. This will be done in a separate subsection of the introduction. In Section 2 and Section 3 we describe the basic notions of our approach. It is based on a set of comparison maps j hh 0 which relate observables at different values of h. This framework was originally designed for applications in statistical mechanics [We3] ....

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T. Arai: "Some extensions of the semiclassical limit h ! 0 for Wigner functions on phase space", J.Math.Phys. 36(1995) 622--630

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