Gaveau, Bernard Fonctions propres et non-existence absolue d’etats lies dans certains systèmes quantiques. (French) Zbl 0422.47008 Commun. Math. Phys. 69, 131-146 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 35J10 Schrödinger operator, Schrödinger equation 47A40 Scattering theory of linear operators Keywords:Schrödinger operator; Feynman-Kac formula; bound states and eigenfunction; stochastic integrals PDF BibTeX XML Cite \textit{B. Gaveau}, Commun. Math. Phys. 69, 131--146 (1979; Zbl 0422.47008) Full Text: DOI OpenURL References: [1] Berthier, A.M., Gaveau, B.: Critère de convergence des fonctionnelles de Kac et applications en mécanique quantique et en géométrie. J. Funct. Anal.30, 310 (1978) · Zbl 0398.60076 [2] Glaser, V., Martin, A., Grosse, H., Thirring, W.: A family of optimal conditions for the absence of bound states. Symposium in honor of V. Bargman. Princeton U. p. 169-194 (1976) · Zbl 0332.31004 [3] Kac, M.: On some connections between probability and differential equations. 2nd Berkeley Symposium on probability and statistics 1950 [4] Kato, T.: Math. Ann.162, 258 (1966) · Zbl 0139.31203 [5] Klein, A., Laudau, F.: J. Funct. Anal.20 (1975) [6] McKean, H.: Stochastic integrals. New York: Academic Press 1969 · Zbl 0191.46603 [7] Simon, B.: On the number of bound states of two body Schrödinger equations: a review. Symposium in honor of V. Bargmann. Princeton (1976) · Zbl 0349.35022 [8] Vauthier, J.: À paraître · Zbl 0385.32003 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.