The Generalized Star Product and the Factorization of Scattering Matrices on Graphs

Details The Generalized Star Product and the Factorization of Scattering Matrices on Graphs The Generalized Star Product and the Factorization of Scattering Matrices on Graphs

2000-08-15

arxiv.org/abs/math-ph/0008022v1

J. Math. Phys. Vol. 42 (2001), 1563 - 1598

Physics

Mathematical Physics

Scientific paper

10.1063/1.1354641

In this article we continue our analysis of Schr\"odinger operators on arbitrary graphs given as certain Laplace operators. In the present paper we give the proof of the composition rule for the scattering matrices. This composition rule gives the scattering matrix of a graph as a generalized star product of the scattering matrices corresponding to its subgraphs. We perform a detailed analysis of the generalized star product for arbitrary unitary matrices. The relation to the theory of transfer matrices is also discussed.

Affiliated with

Also associated with

No associations

Rating

The Generalized Star Product and the Factorization of Scattering Matrices on Graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Generalized Star Product and the Factorization of Scattering Matrices on Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Generalized Star Product and the Factorization of Scattering Matrices on Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601230