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      Multi-variate Bateman method for two-body scattering without partial-wave decomposition

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      Author
      Kuruoğlu, Z. C.
      Date
      2014
      Source Title
      Journal of Mathematical Chemistry
      Print ISSN
      0259-9791
      Electronic ISSN
      1572-8897
      Publisher
      Springer Netherlands
      Volume
      52
      Issue
      7
      Pages
      1857 - 1869
      Language
      English
      Type
      Article
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      Abstract
      The use of Bateman method for solving the two-variable version of the two-body Lippmann-Schwinger equation without recourse to partial-wave decomposition is investigated. Bateman method is based on a special kind of interpolation of the momentum representation of the potential on a multi-variate grid. A suitable scheme for the generation of a multi-variate Cartesian grid is described. The method is tested on the Hartree potential for electron-hydrogen scattering in the static no-exchange approximation. Our results show that the Bateman method is capable of producing quite accurate solutions with relatively small number of grid points.
      Keywords
      Bateman interpolation
      Degenerate-kernel methods for integral equations
      Faddeev equations
      Few-body collisions
      Lippmann-Schwinger equation
      Multi-variate interpolation and approximation
      Nystrom method
      Quantum scattering theory
      Permalink
      http://hdl.handle.net/11693/26624
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s10910-014-0352-y
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