Stability, complex modes, and nonseparability in rotating quadratic potentials

We examine the dynamics of a particle in a general rotating quadratic potential, not necessarily stable or isotropic, using a general complex mode formalism. The problem is equivalent to that of a charged particle in a quadratic potential in the presence of a uniform magnetic field. It is shown that...

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Autores principales: Rossignoli, Raúl Dante, Kowalski, Andrés Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Ciencias Exactas
Física
particle dynamics
rotating quadratic potential
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125880
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.79.062103
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125880
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
particle dynamics
rotating quadratic potential
spellingShingle Ciencias Exactas
Física
particle dynamics
rotating quadratic potential
Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
Stability, complex modes, and nonseparability in rotating quadratic potentials
topic_facet Ciencias Exactas
Física
particle dynamics
rotating quadratic potential
description We examine the dynamics of a particle in a general rotating quadratic potential, not necessarily stable or isotropic, using a general complex mode formalism. The problem is equivalent to that of a charged particle in a quadratic potential in the presence of a uniform magnetic field. It is shown that the unstable system exhibits a rich structure, with complex normal modes as well as nonstandard modes of evolution characterized by equations of motion which cannot be decoupled (nonseparable cases). It is also shown that in some unstable cases the dynamics can be stabilized by increasing the magnetic field or tuning the rotational frequency, giving rise to dynamical stability or instability windows. The evolution in general nondiagonalizable cases is as well discussed.
format Articulo
Articulo
author Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
author_facet Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
author_sort Rossignoli, Raúl Dante
title Stability, complex modes, and nonseparability in rotating quadratic potentials
title_short Stability, complex modes, and nonseparability in rotating quadratic potentials
title_full Stability, complex modes, and nonseparability in rotating quadratic potentials
title_fullStr Stability, complex modes, and nonseparability in rotating quadratic potentials
title_full_unstemmed Stability, complex modes, and nonseparability in rotating quadratic potentials
title_sort stability, complex modes, and nonseparability in rotating quadratic potentials
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/125880
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.79.062103
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AT kowalskiandresmauricio stabilitycomplexmodesandnonseparabilityinrotatingquadraticpotentials
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