Vakulenko, A. F. On a variant of commutator estimates in spectral theory. (English. Russian original) Zbl 0695.47003 J. Sov. Math. 49, No. 5, 1136-1139 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29-36 (1987). See the review in Zbl 0649.47002. Cited in 2 Documents MSC: 47A10 Spectrum, resolvent 47A40 Scattering theory of linear operators 47B47 Commutators, derivations, elementary operators, etc. Keywords:Schrödinger operator H for two- or three-particle system; Kato-Lavin scheme in spectral theory in the short range case; absence of embedded eigenvalue for two particle systems Citations:Zbl 0649.47002 PDFBibTeX XMLCite \textit{A. F. Vakulenko}, J. Sov. Math. 49, No. 5, 1136--1139 (1990; Zbl 0695.47003); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29--36 (1987) Full Text: DOI EuDML References: [1] M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, New York (1978). · Zbl 0401.47001 [2] D. R. Yafaev, ”Remarks on the spectral theory for the Schrödinger operator of multiparticle type,” J. Sov. Math.,31, No. 6 (1985). · Zbl 0582.35034 [3] E. Mourre, ”Operateurs conjugues et proprietes de propagation. II,” Preprint CNRS, Marseille (1982). [4] I. M. Sigal and A. Soffer, ”The N-particle scattering problem: asymptotic completeness for short-range systems,” Ann. Math.,126, 35–108 (1987). · Zbl 0646.47009 [5] P. Deift and B. Simon, ”A time-dependent approach to the completeness of multiparticle quantum systems,” Commun. Pure Appl. Math.,30, 573–583 (1977). · Zbl 0354.47004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.