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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 16
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Articles

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

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Pages 2848-2867 | Received 22 Aug 2017, Accepted 10 May 2018, Published online: 08 Jun 2018

References

  • Baskin L, Neittaanmäki P, Plamenevskii B, et al. Asymptotic theory of resonant tunneling in 3D quantum waveguides of variable cross-section. SIAM J Appl Math. 2009;70(5):1542–1566. doi: 10.1137/090757113
  • Baskin LM, Kabardov M, Neittaanmäki P, et al. Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section. Comp Math Math Phys. 2013;53(11):1664–1683. doi: 10.1134/S0965542513110018
  • Baskin L, Neittaanmäki P, Plamenevskii B, et al. Resonant tunneling: quantum waveguides of variable cross-sections, asymptotics, numerics, and applications. Cham: Springer; 2015. (Lecture notes on numerical methods in engineering and sciences).
  • Baskin L, Kabardov M, Neittaanmäki P, et al. Device for detecting magnetic field. Patent FI 124670 B. 2014 Nov 28.
  • Nazarov SA, Plamenevskii BA. Elliptic problems in domains with piecewise smooth boundaries. Berlin: Walter de Gruyter; 1994. (de Gruyter Exp. Math.; vol. 13).
  • Kato T. Perturbation theory for linear operators. Berlin: Springer-Verlag; 1995.

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