Mourre, E. Absence of singular continuous spectrum for certain self-adjoint operators. (English) Zbl 0489.47010 Commun. Math. Phys. 78, 391-408 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 18 ReviewsCited in 286 Documents MSC: 47B25 Linear symmetric and selfadjoint operators (unbounded) 47A10 Spectrum, resolvent 35P05 General topics in linear spectral theory for PDEs 47D03 Groups and semigroups of linear operators 47F05 General theory of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators Keywords:self-adjoint operator; spectral projection; conjugate operator; Laplacian; two-body and three-body Schrödinger operators; perturbations of pseudo-differential operators; infinitesimal generator; unitary representation of the dilation group × Cite Format Result Cite Review PDF Full Text: DOI Euclid References: [1] Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966 · Zbl 0148.12601 [2] Agmon, S.: Ann. Scuola Norm. Sup. Pisa, Ser. 4,2, 151–218 (1975) [3] Aguilar, J., Combes, J.M.: Commun. Math. Phys.22, 269–279 (1971) · Zbl 0219.47011 · doi:10.1007/BF01877510 [4] Balslev, E., Combres, J.M.: Commun. Math. Phys.22, 280–294 (1971) · Zbl 0219.47005 · doi:10.1007/BF01877511 [5] Reed, M., Simon, B.: Methods of modern mathematical physics. Tomes II and III. New York: Academic Press 1979 · Zbl 0405.47007 [6] Enss, V.: Commun. Math. Phys.61, 285 (1978) · Zbl 0389.47005 · doi:10.1007/BF01940771 [7] Simon, B.: Duke Math. J.46, 119–168 (1979) · Zbl 0402.35076 · doi:10.1215/S0012-7094-79-04607-6 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.