2008/03/31 by C. Henning, Christian Henning, Kenji Fujioka +6 · 50 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Magnetic monopole #Mathematical physics #Mathematics #Mode (computer interface) #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Symmetry (geometry) #Yukawa potential #physics.atm-clus #physics.plasm-ph
paper · pdf · doi:10.1103/physrevlett.101.045002
published in Physical Review Letters 101(4), 045002 (American Physical Society)
arxiv created 2008/03/31 · openalex publication_date 2008/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
One of the fundamental eigenmodes of finite interacting systems is the mode of uniform radial expansion and contraction-the breathing mode (BM). Here we show in a general way that this mode exists only under special conditions: (i) for harmonically trapped systems with interaction potentials of the form 1/rgamma (gamma in R not equal 0) or log(r), or (ii) for some systems with special symmetry such as single-shell systems forming platonic bodies. Deviations from the BM are demonstrated for two examples: clusters interacting with a Lennard-Jones potential and parabolically trapped systems with Yukawa repulsion. We also show that vanishing of the BM leads to the occurrence of multiple monopole oscillations which is of importance for experiments.