The University of Arizona

Behavior of Small Masses in a Quadrupole Ion Trap with White Noise

Behavior of Small Masses in a Quadrupole Ion Trap with White Noise

Series: Program in Applied Mathematics Brown Bag Seminar
Location: Math 402
Presenter: Dwight Nwaigwe, Program in Applied Mathematics, University of Arizona

We explore the small mass limit of a particle in a quadrupole ion trap with white noise. Experiments have shown that for a mass of size ≈ 10−17kg, particle’s position stays within a fixed radius of the origin, i.e. the particle is localized. We show mathematically using Ito calculus that the variance is indeed bounded for a sufficiently small mass, i.e the particle is localized. For short times, the variance as a function of t is independent of m, while for t →, it is inversely proportional to m^2

Department of Mathematics, The University of Arizona 617 N. Santa Rita Ave. P.O. Box 210089 Tucson, AZ 85721-0089 USA Voice: (520) 621-6892 Fax: (520) 621-8322 Contact Us © Copyright 2017 Arizona Board of Regents All rights reserved