Geometric & Functional Analysis GAFA

, Volume 10, Issue 1, pp 1–50 | Cite as

Distorted plane waves for the 3 body Schrödinger operator

  • A. Hassell


Distorted plane waves, incoming in the free region, are constructed for generalized 3 body Schrödinger operators on \( {\Bbb R}^N \) under the assumption that the 'two-body' potential functions are rapidly decreasing. The construction yields the form of the complete asymptotic expansion of the plane waves at infinity away from the collision planes, and gives an explicit construction and geometric characterization of the singularities of the free channel scattering matrix.


Plane Wave Asymptotic Expansion Potential Function Explicit Construction Distorted Plane 
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Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • A. Hassell
    • 1
  1. 1.Centre for Mathematics and its Applications, Australian National University, Canberra ACT 0200, Australia, e-mail:

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