Small-energy analysis for the selfadjoint matrix Schroedinger operator on the half line. II

@inproceedings{Aktosun2013SmallenergyAF,
  title={Small-energy analysis for the selfadjoint matrix Schroedinger operator on the half line. II},
  author={Tuncay Aktosun and Martin Klaus and Ricardo Weder},
  year={2013}
}
The matrix Schroedinger equation with a selfadjoint matrix potential is considered on the half line with the most general selfadjoint boundary condition at the origin. When the matrix potential is integrable and has a second moment, it is shown that the corresponding scattering matrix is differentiable at zero energy. An explicit formula is provided for the derivative of the scattering matrix at zero energy. The previously established results when the potential has only the first moment are… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 24 REFERENCES

and C

T. Aktosun, M. Klaus
  • van der Mee, Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line, J. Math. Phys. 42, 4627–4652
  • 2001
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

and A

P. Exner, J. P. Keating, P. Kuchment, T. Sunada
  • Teplyaev (eds.), Analysis on graphs and its applications, Proc. Symposia in Pure Mathematics, 77, Amer. Math. Soc., Providence, RI
  • 2008
VIEW 1 EXCERPT

and P

G. Berkolaiko, R. Carlson, S. A. Fulling
  • Kuchment (eds.), Quantum graphs and their applications, Contemporary Mathematics, 415, Amer. Math. Soc., Providence, RI
  • 2006
VIEW 1 EXCERPT

Quantum graphs

P. Kuchment
  • II. Some spectral properties of quantum and combinatorial graphs, J. Phys. A 38, 4887–4900
  • 2005
VIEW 1 EXCERPT