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Critère de convergence des fonctionnelles de Kac et application en mécanique quantique et en géométrie. (French) Zbl 0398.60076


MSC:

60J60 Diffusion processes
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[1] Debiard, A; Gaveau, B; Mazet, E; Debiard, A; Gaveau, B; Mazet, E, Théorèmes de comparaison en géométrie riemannienne, Publ. res. inst. math. sci., Comptes rendus acad. sci. Paris, t. 281, 455, (1975), Annoncé dans · Zbl 0327.58014
[2] {\scA. Garsia}, “Martingale Inequalities,” Benjamin, New York. · Zbl 0284.60046
[3] {\scV. Glaser, A. Martin, H. Grosse, et W. Thirring}, A family of optimal conditions for the absence of bound states, Symposium in Honor of V. Bargman, Princeton University, 169-194.
[4] {\scM. Kac}, On some connection between probability and differential equations, 2nd symposium de Berkeley on probability and statistics.
[5] Kato, T, Wave operators and similarity for some non self adjoint operators, Math. ann., 162, 258-279, (1966), (Théorème 6-4) · Zbl 0139.31203
[6] {\scB. Gaveau}, Functions propres et non existence absolue d’états liés dans certains systèmes quantiques (à paraître).
[7] Malliavin, P, Formules de la moyenne, calcul de perturbations et théorèmes d’annulation pour LES formes harmoniques, J. functional analysis, 17, 274-291, (1974) · Zbl 0425.58022
[8] {\scB. Simon}, On the number of bound states of two-body Schrödinger equation: A review. Symposium in Honor of V. Bargman. Princeton, 305-326.
[9] {\scY. Siu-Yau}, preprint. Complete Kühler manifolds with nonpositive curvature of faster than quadratic decay.
[10] Vauthier, J, Semi-groupes de de Rham Hodge pour certaines variétés riemanniennes ouvertes, Bull. sci. maths, (1978), à paraître
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