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000727028 020__ $$a9783319151052$$qelectronic book
000727028 020__ $$a3319151053$$qelectronic book
000727028 020__ $$z9783319151045
000727028 0247_ $$a10.1007/978-3-319-15105-2$$2doi
000727028 035__ $$aSP(OCoLC)ocn908762901
000727028 035__ $$aSP(OCoLC)908762901
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000727028 049__ $$aISEA
000727028 050_4 $$aQC176.8.T8
000727028 08204 $$a530.4/16
000727028 1001_ $$aBaskin, Lev,$$eauthor.
000727028 24510 $$aResonant tunneling$$h[electronic resource] :$$bquantum waveguides of variable cross-section, asymptotics, numerics, and applications /$$cLev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov.
000727028 264_1 $$aCham :$$bSpringer,$$c[2015]
000727028 300__ $$a1 online resource :$$billustrations.
000727028 336__ $$atext$$btxt$$2rdacontent
000727028 337__ $$acomputer$$bc$$2rdamedia
000727028 338__ $$aonline resource$$bcr$$2rdacarrier
000727028 4901_ $$aLecture notes on numerical methods in engineering and sciences,$$x1877-735X
000727028 504__ $$aIncludes bibliographical references.
000727028 5050_ $$aPreface -- 1 Introduction -- 2 Waveguides. Radiation Principle. Scattering Matrices -- 2.1 Boundary Value Problem in a Cylinder -- 2.2 Problem in a Domain G with Cylindrical Ends -- 2.3 Waves and Scattering Matrices -- 3 Properties of Scattering Matrices in a Vicinity of Thresholds -- 3.1 Augmented Space of Waves -- 3.2 Continuous Spectrum Eigenfunctions. Scattering Matrices -- 3.3 Other Properties of the Scattering Matrices -- 4 Method for Computing Scattering Matrices -- 4.1 A Method for Computing Scattering Matrices outside Thresholds -- 4.2 A Method for Computing Scattering Matrices in Vicinity of Thresholds -- 5 Asymptotic and Numerical Studies of Resonant Tunneling in 2D-Waveguides for Electrons of Small Energy -- 5.1 Statement of the Problem -- 5.2 Limit Problems -- 5.3 Special Solutions to the First Kind Homogeneous Problems -- 5.4 Asymptotic Formulas -- 5.5 Justification of the Asymptotics -- 5.6 Comparison of Asymptotic and Numerical Results -- 5.7 The Impact of a Finite Waveguide Work Function on Resonant Tunneling -- 6 Asymptotics of Resonant Tunneling in 3D Waveguides for Electrons of Small Energy -- 6.1 Statement of the Problem and Outline of the Results -- 6.2 Limit Problems -- 6.3 Tunneling in a Waveguide with One Narrow -- 6.4 Tunneling in a Waveguide with Two Narrows -- 7 Resonant Tunneling in 2D Waveguides in Magnetic Field -- 7.1 Statement of the Problem -- 7.2 The Limit Problems -- 7.3 Special Solutions to Homogeneous First Kind Limit Problems -- 7.4 Asymptotic Formulas -- 7.5 Justification of the Asymptotics -- 7.6 Comparison of Asymptotic and Numerical Approaches -- 8 Effect of Magnetic Field on Resonant Tunneling in 3D Waveguides of Variable Cross-Section -- 8.1 Introduction -- 8.2 Statement of the Problem -- 8.3 Limit Problems -- 8.4 Special Solutions of Limit Problems -- 8.5 Asymptotic Formulas -- 8.6 Justification of the Asymptotics -- 9 Numerical Simulation of High Energy Electron Transport -- 9.1 Numerical Simulation of Multichannel Resonant Tunneling -- 9.2 Fano Resonances -- 10 Asymptotic Analysis of Multichannel Resonant Tunneling -- 10.1 Statement of the Problem and Limit problems -- 10.2 Tunneling in a Waveguide with One Narrow -- 10.3 Tunneling in a Waveguide with Two Narrows -- 11 Electronics Devices Based on Resonant Tunneling -- 11.1 Magnetic Field Sensors Based on Quantum Waveguides.- 11.2 Transistors Based on Quantum Waveguides -- 11.3 Electron Flow Switch for Quantum Nets -- Bibliography.
000727028 506__ $$aAccess limited to authorized users.
000727028 520__ $$aThis volume studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach. Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical approaches for investigating the models. Also, schemes are presented for several electronics devices based on the phenomenon of resonant tunneling. Devices based on the phenomenon of electron resonant tunneling are widely used in electronics. Efforts are directed towards refining properties of resonance structures. There are prospects for building new nanosize electronics elements based on quantum dot systems. However, the role of resonance structure can also be given to a quantum wire of variable cross-section. Instead of an "electrode - quantum dot - electrode" system, one can use a quantum wire with two narrows. A waveguide narrow is an effective potential barrier for longitudinal electron motion along a waveguide. The part of the waveguide between two narrows becomes a "resonator" , where electron resonant tunneling can occur. This phenomenon consists in the fact that, for an electron with energy E, the probability T(E) to pass from one part of the waveguide to the other part through the resonator has a sharp peak at E = Eres, where Eres denotes a "resonant" energy. Such quantum resonators can find applications as elements of nanoelectronics devices and provide some advantages in regard to operation properties and production technology. The book is addressed to mathematicians, physicists, and engineers interested in waveguide theory and its applications in electronics.
000727028 588__ $$aOnline resource; title from PDF title page (viewed May 14, 2015).
000727028 650_0 $$aTunneling (Physics)
000727028 650_0 $$aWave guides.
000727028 650_0 $$aElectron paramagnetic resonance.
000727028 7001_ $$aNeittaanmäki, P.$$q(Pekka),$$eauthor.
000727028 7001_ $$aPlamenevskiĭ, B. A.,$$eauthor.
000727028 7001_ $$aSarafanov, Oleg,$$eauthor.
000727028 77608 $$iPrint version:$$z9783319151045
000727028 830_0 $$aLecture notes on numerical methods in engineering and sciences.
000727028 852__ $$bebk
000727028 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-15105-2$$zOnline Access$$91397441.1
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000727028 980__ $$aBIB
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