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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 2, Pages 299–310
DOI: https://doi.org/10.4213/tmf2036 (Mi tmf2036) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Ring-Shaped Functions and Wigner 6j-Symbols

L. G. Mardoyanab

a Yerevan State University
b Joint Institute for Nuclear Research
Full-text PDF (185 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf2036
Abstract: We obtain an explicit expression for the ring-shaped matrix relating the ring-shaped functions corresponding to different values of an axiality parameter and find the relation between this matrix and the Wigner 6j-symbols. We investigate the motion of a quantum particle in a ring-shaped model with a zero “bare” potential and find bases factored in spherical and cylindrical coordinates for this model. We derive a formula generalizing the Rayleigh expansion for a plane wave in terms of spherical waves in a ring-shaped model.
Keywords: ring-shaped potential, ring-shaped functions, interbasis expansions, Wigner 6j-symbols, Rayleigh expansion.
Received: 29.03.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 2, Pages 248–258
DOI: https://doi.org/10.1007/s11232-006-0021-9
Bibliographic databases:
Language: Russian
Citation: L. G. Mardoyan, “Ring-Shaped Functions and Wigner 6j-Symbols”, TMF, 146:2 (2006), 299–310; Theoret. and Math. Phys., 146:2 (2006), 248–258
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf2036
  • https://doi.org/10.4213/tmf2036
  • https://www.mathnet.ru/eng/tmf/v146/i2/p299
    • This publication is cited in the following 3 articles:
    1. L. G. Mardoyan, “Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem”, Theoret. and Math. Phys., 217:2 (2023), 1661–1672  mathnet  crossref  crossref  mathscinet  adsnasa
    2. Marvin A Maulion, M Victoria Carpio-Bernido, Christopher C Bernido, “Jacobi partial waves for a set of 3D noncentral rational scatterers”, Phys. Scr., 98:1 (2023), 015202  crossref
    3. Rampho G.J., “Lagrange-Mesh Solution of the Schrodinger Equation in Generalized Spherical Coordinates”, J. Phys. Commun., 2:3 (2018), UNSP 035037  crossref  isi  scopus
    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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