Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2016; 31(2): 263-275

Printed April 30, 2016

https://doi.org/10.4134/CKMS.2016.31.2.263

Copyright © The Korean Mathematical Society.

Quantum graph of Sierpinski gasket type in electric field

Irina V. Blinova and Igor Y. Popov

Kronverkskiy, 49, Kronverkskiy, 49

Abstract

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Quantum graph of Sierpinski gasket type with attached leads in an electric field is considered. We study the dependence of the transmission coefficient via the wave number of the quantum particle. It has strongly resonance character. The influence of the amplitude and the orientation of the electric field on the coefficient is investigated.

Keywords: quantum graph, Sierpinski gasket, transmission

MSC numbers: 4700000.00E+4700000.00

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