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  Classical scattering of charged particles confined on an inhomogeneous helix

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.

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PhysRevE.88.043202.pdf (Publisher version), 6MB
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http://dx.doi.org/10.1103/PhysRevE.88.043202 (Publisher version)
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 Creators:
Zampetaki, Alexandra V.1, 2, Author           
Stockhofe, J.2, Author
Krönke, S.2, Author
Schmelcher, P.2, 3, Author
Affiliations:
1International Max Planck Research School for Ultrafast Imaging & Structural Dynamics (IMPRS-UFAST), Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266714              
2Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany, ou_persistent22              
3The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany, ou_persistent22              

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Free keywords: PACS numbers: 41.20.−q, 37.10.Ty, 37.90.+j, 05.45.−a
 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.

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Language(s): eng - English
 Dates: 2013-08-272013-10-032013-10
 Publication Status: Issued
 Pages: 14
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.88.043202
arXiv: 1308.5883
 Degree: -

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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 88 (4) Sequence Number: 043202 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012