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VOL. 40 | 2002 Resonance quantum switch: matching domains

Abstract

Quantum Switch is one of most important elements of quantum networks, see, for instance [53, 54, 55]. In the present paper mathematical modeling of the Resonance Quantum Switch is reduced to the solution of the corresponding Scattering Problem on a network consisting of a quantum well and few quantum wires attached to it. In a simplest practical problem the roles of quantum wires are played by straight rectangular channels and the role of the quantum well is played by a circular domain, with the boundary having no flat pieces to match the rectangular channels. We suggest a procedure of matching the rectangular channels and a general convex domain with piecewise smooth boundary. The matching problem is reduced to some finite-dimensional equation with matrix-functions. Important spectral characteristics of the above scattering problem such as positions and life-times of resonances may be found numerically from the corresponding determinant condition or via asymptotic analysis — for sufficiently narrow channels.

Information

Published: 1 January 2002
First available in Project Euclid: 18 November 2014

zbMATH: 1041.35062
MathSciNet: MR1953482

Rights: Copyright © 2002, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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