Journal
EPL
Volume 125, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/125/20003
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Funding
- Humboldt Foundation
- Deutsche Forschungsgemeinschaft [VO 2437/1-1]
- Ingenium organization of TU Darmstadt (AGV)
- Aarhus University Research Foundation (NLH)
- Danish Council for Independent Research
- DFF Sapere Aude program (NTZ)
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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. (C) EPLA, 2019
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