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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 55, Number 2, Pages 257–268 (Mi tmf2166)  

This article is cited in 37 scientific papers (total in 37 papers)

Model of free electrons and the scattering problem

B. S. Pavlov, M. D. Faddeev
References:
Abstract: The model of free electrons is modified in such a way that one can describe in it the interaction of a molecule with the surrounding medium. The methods of scattering theory are used to investigate the asymptotic behavior of series of resonances.
Received: 01.07.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 55, Issue 2, Pages 485–492
DOI: https://doi.org/10.1007/BF01015809
Bibliographic databases:
Language: Russian
Citation: B. S. Pavlov, M. D. Faddeev, “Model of free electrons and the scattering problem”, TMF, 55:2 (1983), 257–268; Theoret. and Math. Phys., 55:2 (1983), 485–492
Citation in format AMSBIB
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\by B.~S.~Pavlov, M.~D.~Faddeev
\paper Model of free electrons and the scattering problem
\jour TMF
\yr 1983
\vol 55
\issue 2
\pages 257--268
\mathnet{http://mi.mathnet.ru/tmf2166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=734879}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 55
\issue 2
\pages 485--492
\crossref{https://doi.org/10.1007/BF01015809}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RV06700010}
Linking options:
  • https://www.mathnet.ru/eng/tmf2166
  • https://www.mathnet.ru/eng/tmf/v55/i2/p257
  • This publication is cited in the following 37 articles:
    1. Michela Egidi, Delio Mugnolo, Albrecht Seelmann, “Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs”, Journal of Mathematical Analysis and Applications, 535:1 (2024), 128101  crossref
    2. Dilip Sarkar, Shridhar Kumar, Pratibhamoy Das, Higinio Ramos, “Higher-order convergence analysis for interior and boundary layers in a semi-linear reaction-diffusion system networked by a k-star graph with non-smooth source terms”, NHM, 19:3 (2024), 1085  crossref
    3. Mohamed El Azzouzi, Abdellah Lourini, Mohamed Laabissi, “Null Controllability of Networks Systems”, J Dyn Control Syst, 29:3 (2023), 855  crossref
    4. Gaukhar Arepova, Ludmila Alexeyeva, Dana Arepova, “Solution to the Dirichlet Problem of the Wave Equation on a Star Graph”, Mathematics, 11:20 (2023), 4234  crossref
    5. Delio Mugnolo, Abdelaziz Rhandi, “Ornstein–Uhlenbeck semigroups on star graphs”, DCDS-S, 15:12 (2022), 3765  crossref
    6. A. V. Tsvetkova, A. I. Shafarevich, “The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere”, Trans. Moscow Math. Soc., 82 (2021), 305–325  mathnet  crossref
    7. Vaibhav Mehandiratta, Mani Mehra, Günter Leugering, “Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph”, NHM, 16:2 (2021), 155  crossref
    8. Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise, “Linear hyperbolic systems on networks: well-posedness and qualitative properties”, ESAIM: COCV, 27 (2021), 7  crossref
    9. Genqi Xu, Min Li, “Stability of Wave Networks on Elastic and Viscoelastic Media”, Acta Appl Math, 175:1 (2021)  crossref
    10. A. V. Tsvetkova, A. I. Shafarevich, “Asymptotics of the Solution of a Wave Equation with Radially Symmetric Velocity on the Simplest Decorated Graph with Arbitrary Boundary Conditions at the Gluing Point”, Math. Notes, 107:3 (2020), 478–487  mathnet  crossref  crossref  mathscinet  isi  elib
    11. A. V. Tsvetkova, A. I. Shafarevich, “Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph”, Proc. Steklov Inst. Math., 308 (2020), 250–260  mathnet  crossref  crossref  mathscinet  isi  elib
    12. A. V. Tsvetkova, A. I. Shafarevich, “Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph with Initial Conditions on a Surface”, Math. Notes, 108:4 (2020), 590–602  mathnet  crossref  crossref  mathscinet  isi  elib
    13. A. M. Akhtyamov, Kh. R. Mamedov, E. N. Yilmazoglu, “Boundary inverse problem for star-shaped graph with different densities strings-edges”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:3 (2018), 5–17  mathnet  crossref  elib
    14. Mikhail Ignatyev, “Inverse scattering problem for Sturm–Liouville operators with Bessel singularities on noncompact star-type graphs”, Inverse Problems, 31:12 (2015), 125006  crossref
    15. G. Freiling, V. Yurko, “Recovering Sturm–Liouville operators on hedgehog-type graphs with general matching conditions”, Eurasian Math. J., 5:4 (2014), 56–69  mathnet
    16. V. L. Chernyshev, A. I. Shafarevich, “Statistics of Gaussian packets on metric and decorated graphs”, Phil. Trans. R. Soc. A., 372:2007 (2014), 20130145  crossref
    17. Vjacheslav Yurko, “Inverse problems for Bessel-type differential equations on noncompact graphs using spectral data”, Inverse Problems, 27:4 (2011), 045002  crossref
    18. Gerhard Freiling, Mikhail Ignatyev, “Spectral analysis for the Sturm–Liouville operator on sun-type graphs”, Inverse Problems, 27:9 (2011), 095003  crossref
    19. Zhong Jie Han, Lei Wang, “Riesz Basis Property and Stability of Planar Networks of Controlled Strings”, Acta Appl Math, 110:2 (2010), 511  crossref
    20. Vjacheslav Anatoljevich Yurko, “An inverse problem for higher order differential operators on star-type graphs”, Inverse Problems, 23:3 (2007), 893  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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