Klaus, M.; Simon, B. Coupling constant thresholds in nonrelativistic quantum mechanics. II: Two cluster thresholds in N-body systems. (English) Zbl 0462.35082 Commun. Math. Phys. 78, 153-168 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 16 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 35P20 Asymptotic distributions of eigenvalues in context of PDEs 81V70 Many-body theory; quantum Hall effect 81U10 \(n\)-body potential quantum scattering theory Keywords:coupling constant thresholds; nonrelativistic quantum mechanics; absorbtion of eigenvalues; N-body system PDF BibTeX XML Cite \textit{M. Klaus} and \textit{B. Simon}, Commun. Math. Phys. 78, 153--168 (1980; Zbl 0462.35082) Full Text: DOI References: [1] Birman, M. S.: Vest. LSU16, 163 (1961) [2] Birman, M. S., Borzov, V. V.: Topics in Math. Phys.5, 19 (1972) [3] Cwickel M.: Ann. Math.106, 93 (1977) · Zbl 0362.47006 · doi:10.2307/1971160 [4] Deift, P.: Duke Math. J.45, 267 (1978) · Zbl 0392.47013 · doi:10.1215/S0012-7094-78-04516-7 [5] Enss, V., Simon, B.: Phys. Rev. Lett.44, 319 (1980); Erratum:44, 764 (1980) · doi:10.1103/PhysRevLett.44.319 [6] Grosse, H.: J. Ph.A10, 711 (1977) [7] Hill, R.: Phys. Rev. Lett.38, 643 (1977) · doi:10.1103/PhysRevLett.38.643 [8] Kac, M.: Topics in Functional Analysis, I., pp. 159–197, New York, London: Academic Press 1978 [9] Klaus, M., Simon, B.: Coupling constant thresholds in non-relativistic quantum mechanics, I. Short range two-body systems. Submitted to Ann. Phys. · Zbl 0455.35112 [10] Klaus, M., Simon, B.: Coupling constant thresholds in non-relativisitic quantum mechanics, III. Some long range potentials. To be submitted to Ann. Phys. [11] Martin, A.: Helv. Phys. Acta.45, 140 (1972) [12] Reed, M., Simon, B.: Methods of modern mathematical physics, III. Scattering theory. New York, London: Academic Press 1979 · Zbl 0405.47007 [13] Reed, M., Simon, B.: Methods of modern mathematical physics, IV. Analysis of operators. New York, London: Academic Press 1978 · Zbl 0401.47001 [14] Schwinger, J.: Proc. Nat. Acad. Sci. USA47, 122 (1961) · doi:10.1073/pnas.47.1.122 [15] Sigal, I.: Commun. Math. Phys.48, 137 (1976) · Zbl 0349.35061 · doi:10.1007/BF01608501 [16] Simon, B.: J. Math. Phys.10, 1415 (1969) · doi:10.1063/1.1664983 [17] Simon, B.: Studies in mathematical physics, pp. 305–326. Princeton: Princeton University Press 1976 [18] Simon, B.: Trans. Am. Math. Soc.224, 367 (1976) [19] Simon, B.: Commun. Math. Phys.55, 259 (1977) · Zbl 0413.47008 · doi:10.1007/BF01614550 [20] Simon, B.: Adv. Math.30, 268 (1978) · Zbl 0414.35069 · doi:10.1016/0001-8708(78)90040-3 [21] Simon, B.: Trace ideals and their applications. Cambridge: Cambridge University Press 1979 · Zbl 0423.47001 [22] Simon, B.: Functional integration and quantum physics. New York, London: Academic Press 1979 · Zbl 0434.28013 [23] Tamura, H.: Proc. Jpn Acad.50, (1974) [24] Yafeev, D.: Dokl. Akad. Nauk USSR206, 68 (1972) [25] Yafeev, D.: Theor. Math. Phys. (USSR)27, 328 (1977) · doi:10.1007/BF01036549 [26] Zhislin, G. M.: Dokl. Akad. Nauk USSR207, 25 (1972) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.