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Quantum graphs where back-scattering is prohibited

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Published 6 November 2007 • 2007 IOP Publishing Ltd
, , Citation J M Harrison et al 2007 J. Phys. A: Math. Theor. 40 14181 DOI 10.1088/1751-8113/40/47/010

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Author affiliations

1 Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA

2 Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel

3 Department of Mathematics, Baylor University, Waco, TX 76798, USA

4 Present address: School of Mathematics, Loughborough University, Loughborough, LE11 3TU, UK

Dates

  1. Received 6 August 2007
  2. Published

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Abstract

We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study. We also provide two methods to build the vertex scattering matrices needed for their construction.

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10.1088/1751-8113/40/47/010