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Reflectionless and Equiscattering Quantum Graphs

Authors:
Taksu Cheon

Keywords: quantum graph; singular vertex; quantum wire; inverse scattering

Abstract:
The inverse scattering problem of a quantum star graph is shown to be solvable as a diagonalization problem of Hermitian unitary matrix when the connection condition is given by scale invariant Tsutsui-Fulop form. This enables the construction of quantum graphs with desired properties in tailor-made fashion. The quantum vertices with uniform and reflectionless scatterings are examined, and their finite graph approximations are constructed.

Pages: 18 to 22

Copyright: Copyright (c) IARIA, 2011

Publication date: August 21, 2011

Published in: conference

ISSN: 2308-3530

ISBN: 978-1-61208-151-9

Location: Nice/Saint Laurent du Var, France

Dates: from August 21, 2011 to August 27, 2011