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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 2, Pages 281–290
DOI: https://doi.org/10.4213/tmf6681
(Mi tmf6681)
 

This article is cited in 5 scientific papers (total in 5 papers)

Propagation of wave packets through resonant quantum systems

N. A. Ivanov, V. V. Skalozub

Dnepropetrovsk National University, Dnepropetrovsk, Ukraine
Full-text PDF (505 kB) Citations (5)
References:
Abstract: We use a previously proposed modified saddle point method to describe the tunneling of a rectangular wave packet through a resonant quantum system. We calculate the shape of the wave packet obtained at the quantum system output analytically for different values of the level width. The result of propagation is a wave packet that is the superposition of complementary error functions. Comparing the result with the exact numerical solution obtained without using any asymptotic methods shows a rather good coincidence. We study the propagation of Gaussian and rectangular wave packets in detail for large values of the resonance level width.
Keywords: tunneling, resonance level, wave packet, resonance scattering, quantum system, scattering matrix.
Received: 19.10.2009
Revised: 29.11.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 2, Pages 1096–1104
DOI: https://doi.org/10.1007/s11232-011-0090-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Ivanov, V. V. Skalozub, “Propagation of wave packets through resonant quantum systems”, TMF, 168:2 (2011), 281–290; Theoret. and Math. Phys., 168:2 (2011), 1096–1104
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6681
  • https://doi.org/10.4213/tmf6681
  • https://www.mathnet.ru/eng/tmf/v168/i2/p281
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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