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hal-00632264, version 1

Faddeev eigenfunctions for point potentials in two dimensions

Piotr Grinevich 1, Roman Novikov () 2

Physics Letters A 376 (2012) 1102-1106

Abstract: We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for point (delta-type) potentials in two dimensions. In particular, we obtain the first explicit examples of such eigenfunctions with contour singularity in spectral parameter at a fixed real energy.

  • 1:  Landau Institute of Theoretical Physics
  • Russian Academy of Science
  • 2:  Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP)
  • Polytechnique - X – CNRS : UMR7641
  • Domain : Physics/Mathematical Physics
    Mathematics/Mathematical Physics
    Mathematics/Analysis of PDEs
 
  • hal-00632264, version 1
  • http://hal.archives-ouvertes.fr/hal-00632264
  • oai:hal.archives-ouvertes.fr:hal-00632264
  • From: Roman Novikov <>
  • Submitted on: Thursday, 13 October 2011 23:01:34
  • Updated on: Saturday, 25 February 2012 16:42:06