# 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} }

- Published 2011
DOI:10.1063/1.3640029

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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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 29 REFERENCES

## Inverse Scattering on Matrices with Boundary Conditions

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## and C

VIEW 9 EXCERPTS

HIGHLY INFLUENTIAL

## The Matrix Schrödinger Operator and Schrödinger Operator on Graphs

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Kirchhoff's rule for quantum wires

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## and A

VIEW 1 EXCERPT

## Linear algebra in action

VIEW 2 EXCERPTS

## Inverse spectral problem for quantum graphs

VIEW 1 EXCERPT

## and P

VIEW 1 EXCERPT