Titlebook: Resonant Tunneling; Quantum Waveguides o Lev Baskin,Pekka Neittaanmäki,Oleg Sarafanov Book 20151st edition Springer International Publishin

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Method for Computing Scattering Matrices,ch a matrix, a minimizer of a quadratic functional is suggested. To construct the functional, one has to solve a boundary value problem in a bounded domain obtained by cutting off the cylindrical ends of the waveguide at distance R. The minimizer tends to the scattering matrix row at exponential rate as R increases to infinity.

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978-3-319-35837-6Springer International Publishing Switzerland 2015

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Introduction,Chapter 1 presents a survey of the rest chapters of the book.

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Asymptotics of Resonant Tunneling in 3D Waveguides for Electrons of Small Energy,Chapter  6 exposes an asymptotic theory of resonant tunneling in a three-dimensional waveguide with two narrows for electrons with energy between the first and the second thresholds.

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Resonant Tunneling in 2D Waveguides in Magnetic Field,Chapter 7 presents an asymptotic and numerical studies of resonant tunneling in a two-dimensional waveguide with two-narrows in magnetic field. It is supposed that the electron energy is between the first and the second thresholds.

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Effect of Magnetic Field on Resonant Tunneling in 3D Waveguides of Variable Cross-Section,Chapter 8 contains an asymptotic theory of resonant tunneling in a three-dimensional waveguide in magnetic field. The resonator is formed by two waveguide narrows. The electron energy is between the first and the second thresholds.

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