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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 3, Pages 342–367
DOI: https://doi.org/10.4213/tmf8582 (Mi tmf8582) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (663 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8582
Abstract: We derive and qualitatively analyze nonlinear and linear equations for the scattering length and effective radius. We find and investigate exact solutions of these equations in the case of a centrally symmetric rectangular potential and elucidate a relation between the effective radius and the scattering length. We are especially interested in the cases of zero and unbounded scattering lengths.
Keywords: two-dimensional scattering, short-range potential, scattering length, effective radius.
Received: 29.07.2013
Revised: 20.05.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 3, Pages 1051–1072
DOI: https://doi.org/10.1007/s11232-014-0199-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential”, TMF, 180:3 (2014), 342–367; Theoret. and Math. Phys., 180:3 (2014), 1051–1072
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v180/i3/p342
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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