A solvable model for decoupling of interacting clusters

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperLetterpeer-review

  • Artem G. Volosniev, Tech Univ Darmstadt, Technical University of Darmstadt, Inst Kernphys
  • ,
  • Aksel S. Jensen
  • Nathan L. Harshman, Amer Univ, American University, Dept Phys
  • ,
  • Jeremy R. Armstrong, Univ Nebraska, University of Nebraska Lincoln, University of Nebraska System, Dept Phys & Astron
  • ,
  • Nikolaj T. Zinner

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

Original languageEnglish
Article number20003
JournalEPL
Volume125
Issue2
Number of pages7
ISSN0295-5075
DOIs
Publication statusPublished - Jan 2019

    Research areas

  • QUANTUM BROWNIAN-MOTION, HARMONIC-OSCILLATOR, DISSIPATION, SYSTEMS, GAS

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