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Fonctions propres et non-existence absolue d’etats lies dans certains systèmes quantiques. (French) Zbl 0422.47008


MSC:

47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
35J10 Schrödinger operator, Schrödinger equation
47A40 Scattering theory of linear operators
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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
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