Asymptotics of the Resonant Tunneling of High-Energy Electrons in Two-Dimensional Quantum Waveguides of Variable Cross-Section

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

A waveguide occupies a strip in ℝ 2 having two identical narrows of small diameter ε. An electron wave function satisfies the Helmholtz equation with the homogeneous Dirichlet boundary condition. The energy of electrons may be rather high, i.e., any (fixed) number of waves can propagate in the strip far from the narrows. As ε → 0, a neighborhood of a narrow is assumed to transform into a neighborhood of the common vertex of two vertical angles. The part of the waveguide between the narrows as ε = 0 is called the resonator. An asymptotics of the transmission coefficient is obtained in the waveguide as ε → 0. Near a degenerate eigenvalue of the resonator, the leading term of the asymptotics has two sharp peaks. Positions and shapes of the resonant peaks are described.

Язык оригиналаанглийский
Страницы (с-по)736-749
Число страниц14
ЖурналJournal of Mathematical Sciences (United States)
Том238
Номер выпуска5
DOI
СостояниеОпубликовано - 7 мая 2019

Отпечаток

Resonant tunneling
Waveguide
High Energy
Waveguides
Cross section
Electron
Resonator
Strip
Electrons
Resonators
Vertical angle
Helmholtz equation
Transmission Coefficient
Helmholtz Equation
Wave functions
Wave Function
Dirichlet Boundary Conditions
Boundary conditions
Transform
Eigenvalue

Предметные области Scopus

  • Теория вероятности и статистика
  • Математика (все)
  • Прикладная математика

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Asymptotics of the Resonant Tunneling of High-Energy Electrons in Two-Dimensional Quantum Waveguides of Variable Cross-Section. / Sarafanov, O. V.

В: Journal of Mathematical Sciences (United States), Том 238, № 5, 07.05.2019, стр. 736-749.

Результат исследований: Научные публикации в периодических изданияхстатья

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