Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line

@inproceedings{Aktosun2011SmallenergyAF,
  title={Small-energy analysis for the self-adjoint matrix Schr{\"o}dinger operator on the half line},
  author={Tuncay Aktosun and Martin Klaus and Ricardo Weder},
  year={2011}
}
The matrix Schrodinger equation with a self-adjoint matrix potential is considered on the half line with the most general self-adjoint boundary condition at the origin. When the matrix potential is integrable and has a first moment, it is shown that the corresponding scattering matrix is continuous at zero energy. An explicit formula is provided for the scattering matrix at zero energy. The small-energy asymptotics are established also for the related Jost matrix, its inverse, and various other… CONTINUE READING

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