Angular Normal Modes of a Circular Coulomb Cluster

Autor:	L. W. Lupinski, M. J. Madsen
Rok vydání:	2009
Předmět:	Physics Classical Physics (physics.class-ph) FOS: Physical sciences Statistical and Nonlinear Physics Physics - Classical Physics Limiting Matrix (mathematics) Normal mode Quantum mechanics Cluster (physics) Coulomb Analytic solution Laplace operator Circulant matrix Mathematical Physics
DOI:	10.48550/arxiv.0907.1885
Popis:	We investigate the angular normal modes for small oscillations about an equilibrium of a single-component coulomb cluster confined by a radially symmetric external potential to a circle. The dynamical matrix for this system is a Laplacian symmetrically circulant matrix and this result leads to an analytic solution for the eigenfrequencies of the angular normal modes. We also show the limiting dependence of the largest eigenfrequency for large numbers of particles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bacd998ab353ff444e096f130164fb50 Zobrazit plný text záznamu