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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 171, Pages 12–35 (Mi znsl4469)  
This article is cited in 5 scientific papers (total in 5 papers)

On the trace-class method in potential scattering theory

M. Sh. Birman, D. R. Yafaev
Full-text PDF (1159 kB) Citations (5)
Abstract: One considers a perturbation of Schrödinger operator $H_0$ with an arbitrary bounded potential by a function $q$ which is vanishing sufficiently quickly at infinity. Trace-class theorems are applied to prove existence and completeness of wave operators for corresponding Hamiltonians $H_0$, $H=H_0+q$. Generalizations to broader class of unperturbed operators as well as to perturbations by first-order differential operators are given. Moreover, perturbations by integral operators of Fourier type are considered.
English version:
Journal of Soviet Mathematics, 1991, Volume 56, Issue 2, Pages 2285–2299
DOI: https://doi.org/10.1007/BF01671931
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. Sh. Birman, D. R. Yafaev, “On the trace-class method in potential scattering theory”, Boundary-value problems of mathematical physics and related problems of function theory. Part 20, Zap. Nauchn. Sem. LOMI, 171, "Nauka", Leningrad. Otdel., Leningrad, 1989, 12–35; J. Soviet Math., 56:2 (1991), 2285–2299
Citation in format AMSBIB
\Bibitem{BirYaf89}
\by M.~Sh.~Birman, D.~R.~Yafaev
\paper On the trace-class method in potential scattering theory
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~20
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 171
\pages 12--35
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4469}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1031982}
\zmath{https://zbmath.org/?q=an:0734.47003|0725.47009}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 56
\issue 2
\pages 2285--2299
\crossref{https://doi.org/10.1007/BF01671931}
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  • https://www.mathnet.ru/eng/znsl/v171/p12
    • 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
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