Hamiltonian flows, short-time propagators and the quantum Zeno effect

Emergent Quantum Mechanics 2013

物理学;力学

De Gosson, Maurice A.^1 ; Hiley, Basil J.^2

Universität Wien, NuHAG, Fakultät für Mathematik, A-1090 Wien, Austria^1

TPRU, Birkbeck, University of London, London, WC1E 7HX, United Kingdom^2

关键词: Continuous-wave radiation;    Dinger equation;    Hamiltonian flows;    Point sources;    Quantum motions;    Quantum potentials;    Quantum Zeno effect;    Wave function collapse;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/504/1/012027/pdf
DOI  :  10.1088/1742-6596/504/1/012027

学科分类：力学，机械学

来源: IOP

【 摘 要 】

In a recent paper we have examined the short-time propagator for the Schrodinger equation of a point source. An accurate expression modulo Δt2for the propagator showed that it was independent of the quantum potential implying that the quantum motion is classical for very short times. In this paper we apply these results to the experiment of Itano, Heinzen, Bollinger and Wineland which demonstrates the quantum Zeno effect in beryllium. We show that the transition is inhibited because the applied continuous wave radiation suppresses the quantum potential necessary for the transition to occur. This shows there is no need to appeal to wave function collapse.