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Dokl. Akad. Nauk SSSR, 1972, Volume 206, Number 1, Pages 68–70 (Mi dan37111)  

This article is cited in 10 scientific papers (total in 10 papers)

MATHEMATICAL PHYSICS

The discrete spectrum of the three-particle Schrödinger operator

D. R. Yafaev

Leningrad State University

Full text: PDF file (496 kB)

Bibliographic databases:
UDC: 517.9+530.145.6
Presented: В. И. Смирнов
Received: 12.12.1971

Citation: D. R. Yafaev, “The discrete spectrum of the three-particle Schrödinger operator”, Dokl. Akad. Nauk SSSR, 206:1 (1972), 68–70

Citation in format AMSBIB
\Bibitem{Yaf72}
\by D.~R.~Yafaev
\paper The discrete spectrum of the three-particle Schr\"odinger operator
\jour Dokl. Akad. Nauk SSSR
\yr 1972
\vol 206
\issue 1
\pages 68--70
\mathnet{http://mi.mathnet.ru/dan37111}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=0322594}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. M. Zhislin, “Finiteness of the discrete spectrum in the quantum $n$-particle problem”, Theoret. and Math. Phys., 21:1 (1974), 971–980  mathnet  crossref  mathscinet
    2. D. R. Yafaev, “On the theory of the discrete spectrum of the three-particle Schrödinger operator”, Math. USSR-Sb., 23:4 (1974), 535–559  mathnet  crossref  mathscinet  zmath
    3. D. R. Yafaev, “On the finiteness of the discrete spectrum of the three-particle Schrödinger operator”, Theoret. and Math. Phys., 25:2 (1975), 1065–1072  mathnet  crossref  mathscinet  zmath
    4. D. R. Yafaev, “On the point spectrum in the quantum-mechanical many-body problem”, Math. USSR-Izv., 10:4 (1976), 861–896  mathnet  crossref  mathscinet  zmath
    5. D. R. Yafaev, “On the number of discrete levels in the quantum problem of three particles”, Theoret. and Math. Phys., 27:1 (1976), 328–335  mathnet  crossref  mathscinet
    6. V. F. Kovalenko, Yu. A. Semenov, “Some problems on expansion in generalized eigenfunctions of the Schrödinger operator with strongly singular potentials”, Russian Math. Surveys, 33:4 (1978), 119–157  mathnet  crossref  mathscinet  zmath
    7. Zh. I. Abdullaev, S. N. Lakaev, “Finiteness of discrete spectrum of three particle Schrödinger operator on the lattice”, Theoret. and Math. Phys., 111:1 (1997), 467–479  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. S. N. Lakaev, S. M. Samatov, “Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice”, Theoret. and Math. Phys., 129:3 (2001), 1655–1668  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    9. Zh. I. Abdullaev, “Finiteness of discrete spectra for nontrivial values of the full quasi-momentum in the system of three bosons on a lattice”, Russian Math. Surveys, 62:1 (2007), 175–177  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. Yu. Kh. Eshkabilov, R. R. Kucharov, “Essential and discrete spectra of the three-particle Schrödinger operator on a lattice”, Theoret. and Math. Phys., 170:3 (2012), 341–353  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
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