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Journal Article

Classical scattering of charged particles confined on an inhomogeneous helix

MPS-Authors
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Zampetaki,  Alexandra V.
International Max Planck Research School for Ultrafast Imaging & Structural Dynamics (IMPRS-UFAST), Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany;

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Fulltext (public)

PhysRevE.88.043202.pdf
(Publisher version), 6MB

1308.5883v1.pdf
(Preprint), 3MB

Supplementary Material (public)
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Citation

Zampetaki, A. V., Stockhofe, J., Krönke, S., & Schmelcher, P. (2013). Classical scattering of charged particles confined on an inhomogeneous helix. Physical Review E, 88(4): 043202. doi:10.1103/PhysRevE.88.043202.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-2408-9
Abstract
We explore the effects arising due to the coupling of the center of mass and relative motion of two charged particles confined on an inhomogeneous helix with a locally modified radius. It is first proven that a separation of the center of mass and the relative motion is provided if and only if the confining manifold represents a homogeneous helix. In this case, bound states of repulsively Coulomb interacting particles occur. For an inhomogeneous helix, the coupling of the center of mass and relative motion induces an energy transfer between the collective and relative motion, leading to dissociation of initially bound states in a scattering process. Due to the time reversal symmetry, a binding of the particles out of the scattering continuum is thus equally possible. We identify the regimes of dissociation for different initial conditions and provide an analysis of the underlying phase space via Poincar´e surfaces of section. Bound states inside the inhomogeneity as well as resonant states are identified.