Standard

Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators. / Гурьянов, Иван Анатольевич; Сарафанов, Олег Васильевич.

In: Applicable Analysis, Vol. 98, No. 16, 2019, p. 2848-2867.

Research output: Contribution to journal › Article › peer-review

Harvard

Гурьянов, ИА & Сарафанов, ОВ 2019, 'Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators', Applicable Analysis, vol. 98, no. 16, pp. 2848-2867. https://doi.org/10.1080/00036811.2018.1478078

APA

Гурьянов, И. А., & Сарафанов, О. В. (2019). Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators. Applicable Analysis, 98(16), 2848-2867. https://doi.org/10.1080/00036811.2018.1478078

Vancouver

Гурьянов ИА, Сарафанов ОВ. Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators. Applicable Analysis. 2019;98(16):2848-2867. https://doi.org/10.1080/00036811.2018.1478078

Author

Гурьянов, Иван Анатольевич ; Сарафанов, Олег Васильевич. / Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators. In: Applicable Analysis. 2019 ; Vol. 98, No. 16. pp. 2848-2867.

BibTeX

@article{c5b837c44b454894aeaf4bc51b6b8f99,
title = "Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators",
abstract = "The domain occupied by the waveguide is a strip with n+1 equal narrows of diameter ϵ. The wave function of a free electron satisfies the Dirichlet boundary value problem for the Helmholtz equation. Any part of the waveguide between two neighboring narrows plays the role of a resonator. Near a simple eigenvalue of the closed resonator, there are n resonant peaks of height close to 1. We let (Formula presented.) and obtain asymptotic formulas for the resonant values of the spectral parameter and for the widths of the resonant peaks at their half-height. The behavior of the transmission coefficient in a neighborhood of a resonance is described.",
keywords = "квантовый волновод, переменное сечение, уравнение Гельмгольца, резонансное туннелирование, асимптотическое описание, Quantum waveguide, variable cross-section, the Helmholtz equation, resonant tunneling, asymptotic description",
author = "Гурьянов, {Иван Анатольевич} and Сарафанов, {Олег Васильевич}",
year = "2019",
doi = "10.1080/00036811.2018.1478078",
language = "English",
volume = "98",
pages = "2848--2867",
journal = "Applicable Analysis",
issn = "0003-6811",
publisher = "Taylor & Francis",
number = "16",

}

RIS

TY - JOUR

T1 - Asymptotics of resonant tunneling in a two-dimensional quantum waveguide with several equal resonators

AU - Гурьянов, Иван Анатольевич

AU - Сарафанов, Олег Васильевич

PY - 2019

Y1 - 2019

N2 - The domain occupied by the waveguide is a strip with n+1 equal narrows of diameter ϵ. The wave function of a free electron satisfies the Dirichlet boundary value problem for the Helmholtz equation. Any part of the waveguide between two neighboring narrows plays the role of a resonator. Near a simple eigenvalue of the closed resonator, there are n resonant peaks of height close to 1. We let (Formula presented.) and obtain asymptotic formulas for the resonant values of the spectral parameter and for the widths of the resonant peaks at their half-height. The behavior of the transmission coefficient in a neighborhood of a resonance is described.

AB - The domain occupied by the waveguide is a strip with n+1 equal narrows of diameter ϵ. The wave function of a free electron satisfies the Dirichlet boundary value problem for the Helmholtz equation. Any part of the waveguide between two neighboring narrows plays the role of a resonator. Near a simple eigenvalue of the closed resonator, there are n resonant peaks of height close to 1. We let (Formula presented.) and obtain asymptotic formulas for the resonant values of the spectral parameter and for the widths of the resonant peaks at their half-height. The behavior of the transmission coefficient in a neighborhood of a resonance is described.

KW - квантовый волновод

KW - переменное сечение

KW - уравнение Гельмгольца

KW - резонансное туннелирование

KW - асимптотическое описание

KW - Quantum waveguide

KW - variable cross-section

KW - the Helmholtz equation

KW - resonant tunneling

KW - asymptotic description

UR - http://www.scopus.com/inward/record.url?scp=85048183021&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/asymptotics-resonant-tunneling-twodimensional-quantum-waveguide-several-equal-resonators

U2 - 10.1080/00036811.2018.1478078

DO - 10.1080/00036811.2018.1478078

M3 - Article

VL - 98

SP - 2848

EP - 2867

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

IS - 16

ER -

ID: 35180087