A. Truman: "Feynman path integrals and quantum mechanics as h ! 0", J.Math.Phys. 17(1976) 1852--1862  Home/Search   Document Not in Database   Summary   Related Articles

....Germany 2 Electronic mail: reinwer dosuni1.rz.Uni Osnabrueck.DE 1 1. Introduction The problem of taking the limit of quantum mechanics as h 0 is as old as quantum mechanics itself. Indeed, under the name correspondence principle it was one of the important guidelines for the construction of the theory itself. Naturally, there is a vast literature on the 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 ....

....and has many further conceivable applications. In Section 2 it is shown that this furnishes a language in which the convergence of sequences of observables, and the theorems of the desired type can be adequately expressed. The definition of the comparison maps j hh 0 requires some additional structure from phase space quantum mechanics, and is undertaken in Section 3. Section 4 gives an extensive list of examples and applications. We hope that this section especially will help to convince the reader that the present approach to the classical limit is a natural, if not canonical one. ....

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A. Truman: "Feynman path integrals and quantum mechanics as h ! 0", J.Math.Phys. 17(1976) 1852--1862

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