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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 65, Number 2, Pages 238–249 (Mi tmf5095)  
This article is cited in 4 scientific papers (total in 4 papers)

Coulomb problem with short-range interaction: Exactly solvable model

V. D. Mur, V. S. Popov
Full-text PDF (1017 kB) Citations (4)
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Abstract: The nonrelativistic Coulomb problem with short-range interaction is considered. The strong potential $V_s(r)$ is modeled by a delta-function interaction on a sphere $r=r_0$. Exact solutions to the Schrödinger equation are obtained for states with arbitrary angular momentum $l$ together with explicit analytic expressions for the scattering lengths, effective ranges, etc. Comparison of the exact solutions with the approximate formulas established earlier [1–4] for arbitrary short-range potential $V_s(r)$ makes it possible to determine the limits of applicability of these approximations.
Received: 01.10.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 65, Issue 2, Pages 1132–1140
DOI: https://doi.org/10.1007/BF01017937
Bibliographic databases:
Language: Russian
Citation: V. D. Mur, V. S. Popov, “Coulomb problem with short-range interaction: Exactly solvable model”, TMF, 65:2 (1985), 238–249; Theoret. and Math. Phys., 65:2 (1985), 1132–1140
Citation in format AMSBIB
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\by V.~D.~Mur, V.~S.~Popov
\paper Coulomb problem with short-range interaction: Exactly solvable model
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\vol 65
\issue 2
\pages 238--249
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=823665}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 65
\issue 2
\pages 1132--1140
\crossref{https://doi.org/10.1007/BF01017937}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985C929000008}
Linking options:
  • https://www.mathnet.ru/eng/tmf5095
  • https://www.mathnet.ru/eng/tmf/v65/i2/p238
    • This publication is cited in the following 4 articles:
    1. Basudeb Sahu, “Novel formula for decay half-life of charged particle from the resonance of $\delta $-well decorated Coulomb barrier”, Pramana - J Phys, 95:3 (2021)  crossref
    2. Benjamin K. Luna, T. Papenbrock, “Low-energy bound states, resonances, and scattering of light ions”, Phys. Rev. C, 100:5 (2019)  crossref
    3. Yu. A. Kuperin, Yu. B. Melnikov, “Two-body resonance scattering and annihilation of composite charged particles”, Journal of Mathematical Physics, 33:8 (1992), 2795  crossref
    4. J -P Antoine, F Gesztesy, J Shabani, “Exactly solvable models of sphere interactions in quantum mechanics”, J. Phys. A: Math. Gen., 20:12 (1987), 3687  crossref
    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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    Abstract page:348
    Full-text PDF :164
    References:47
    First page:1
     
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