# High-energy analysis and Levinson's theorem for the selfadjoint matrix Schrödinger operator on the half line

@inproceedings{Aktosun2013HighenergyAA, title={High-energy analysis and Levinson's theorem for the selfadjoint matrix Schr{\"o}dinger operator on the half line}, author={Tuncay Aktosun and Ricardo Weder}, year={2013} }

- Published 2013
DOI:10.1063/1.4773904

The matrix Schrodinger equation with a selfadjoint matrix potential is considered on the half line with the general selfadjoint boundary condition at the origin. When the matrix potential is integrable, the high-energy asymptotics are established for the related Jost matrix, the inverse of the Jost matrix, and the scattering matrix. Under the additional assumption that the matrix potential has a first moment, Levinson's theorem is derived, relating the number of bound states to the change in… CONTINUE READING

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