Volume 125, Number 2, January 2019
|Number of page(s)||7|
|Published online||12 February 2019|
A solvable model for decoupling of interacting clusters
1 Institut für Kernphysik, Technische Universität Darmstadt - 64289 Darmstadt, Germany
2 Department of Physics and Astronomy, Aarhus University - DK-8000 Aarhus C, Denmark
3 Department of Physics, American University - 4400 Massachusetts Ave. NW, Washington, DC 20016, USA
4 Department of Physics and Astronomy, University of Nebraska at Kearney - 2401 11th Avenue Kearney, NE 68849, USA
5 Aarhus Institute of Advanced Studies, Aarhus University - DK-8000 Aarhus C, Denmark
Received: 29 October 2018
Accepted: 10 January 2019
We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and inter-group degrees of freedom, which reduces the initial problem to M independent problems that describe each of the relative in-group systems. The dynamics of the M center-of-mass coordinates is described by the analytically solvable problem of M coupled harmonic oscillators. This letter derives and discusses these decoupling conditions. Furthermore, to illustrate our findings, we consider a charged impurity interacting with a ring of ions. We argue that the impurity can be used to probe the center-of-mass dynamics of the ions.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 02.30.Ik – Integrable systems
© EPLA, 2019
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.