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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 3, Pages 367–386
DOI: https://doi.org/10.4213/tmf8557 (Mi tmf8557) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Elastic scattering and the path integral

G. V. Efimov

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (548 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8557
Abstract: From the stationary Schrödinger equation in the framework of nonrelativistic quantum mechanics, we derive a representation of the elastic scattering amplitude in the form of a path integral. For evaluating the path integrals, we propose a method called unitary approximation. We obtain the scattering lengths and cross sections for a rectangular potential, a singular repulsive potential, and the Yukawa potential and compare with the exact results.
Keywords: quantum mechanics, elastic scattering, path integral.
Received: 24.05.2013
Revised: 13.01.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 3, Pages 695–711
DOI: https://doi.org/10.1007/s11232-014-0172-z
Bibliographic databases:
Document Type: Article
PACS: 03.65.Nk
MSC: 81U99
Language: Russian
Citation: G. V. Efimov, “Elastic scattering and the path integral”, TMF, 179:3 (2014), 367–386; Theoret. and Math. Phys., 179:3 (2014), 695–711
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v179/i3/p367
    • 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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