S. Albeverio and R. Hegh-Krohn: "Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics, I", Invent.Math. 40(1977) 59--106 Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
The Classical Limit of Quantum Theory - Werner (1995) (Correct)
....is stationary precisely for the classical paths, which therefore give the main contribution to the propagator. To the extent that the Feynman integral and the method of stationary phase in infinite dimensional spaces can be given a mathematical meaning, this observation can be made rigorous [Tru,AHK] and reproduces WKB wave functions. The shortcomings of this approach are therefore similar to the WKB approach. It is maybe interesting to note that the propagator itself does not have a classical limit in our approach, whereas the time evolution it implements on observables does (see Section ....
S. Albeverio and R. Hegh-Krohn: "Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics, I", Invent.Math. 40(1977) 59--106
Classical Mechanics as Quantum Mechanics with Infinitesimal h - Werner, Wolff (1995) (Correct)
....behaviour of solutions of the Schrodinger equation as h 0, it does not give a satisfactory explanation why in this limit the non commutativity of quantum observables suddenly turns into the commutativity of classical observables. The same is true of approaches based on Feynman integrals [AHK], and on the limits of coherent states [Hep, Hag] An approach to the classical limit emphasizing the limit of observables and their algebraic structure has recently been developed in [We2] compare also [Rie, Em1] This approach makes rigorous the intuitive criterion for deciding which ....
S. Albeverio and R. Høegh-Krohn:"Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics, I", Invent.Math. 40(1977) 59-106
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC