@article{RSMUP_2004__111__25_0,
author = {Haro, Jaume},
title = {Study of the behavior of quantum dynamics as $\hslash \rightarrow 0$},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {111},
year = {2004},
pages = {25-54},
mrnumber = {2076731},
zbl = {1139.81303},
language = {sp},
url = {http://dml.mathdoc.fr/item/RSMUP_2004__111__25_0}
}
Haro, Jaume. Study of the behavior of quantum dynamics as $\hslash \rightarrow 0$. Rendiconti del Seminario Matematico della Università di Padova, Tome 111 (2004) pp. 25-54. http://gdmltest.u-ga.fr/item/RSMUP_2004__111__25_0/
[1] - , Oscillatory Integrals and the Method of Stationary Phase in Infinitely Many Dimensions, with applications to the Classical Limit of Quantum Mechanics; Inv. Math., Vol. 40 (1977), pp. 59-106. | MR 474436 | Zbl 0449.35092
[2] , Analyse fonctionelle, Masson Editeur, Paris (1983). | MR 697382 | Zbl 0511.46001
[3] - , Introduction à la théorie des equations aux derivées partielles linéaires, Gauthier-Villars, Paris (1981). | MR 598467 | Zbl 0446.35001
[4] , Spectre d'un hamiltonien quantique et mécanique classique, Comm. Partial Diff. Equat., 5, no. 6 (1980), pp. 595-644. | MR 578047 | Zbl 0437.70014
[5] , Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities, Comm. Pure and Appl. Math., Vol. 27 (1974), pp. 207-281. | MR 405513 | Zbl 0285.35010
[6] , Semiclassical quantum mechanics I. The ˇK0 limit for coherent states, Comm. Math. Phys., 71, no. 1 (1980), pp. 77-93. | MR 556903
[7] , El límit clàssic de la mecànica quàntica, Tesi Doctoral, U.A.B. (1997).
[8] , Étude classique de l'équation de Dirac, Ann. Fond. Louis de Broglie, 23, no. 3-4 (1998), pp. 166-172. | MR 1713230
[9] , La propagation des ondes; I.R.M.A., Strasbourg (1978).
[10] , Études sur la mécanique quantique; Asterisque, 111 (1984). | MR 735083 | Zbl 0589.35002
[11] , Théorie spectrale pour des opérateurs globalement elliptiques, Asterisque 112 (1984). | MR 743094 | Zbl 0541.35002
[12] - , Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. Inst. Fourier, Grenoble 31, 3 (1981), pp. 169-223. | Numdam | MR 638623 | Zbl 0451.35022
[13] , Fourier Integral Operators I, Acta Math., 127 (1971), pp. 79-183. | MR 388463 | Zbl 0212.46601
[14] , Théorie des perturbations et méthodes assymptotiques, Dunod, Paris (1972). | Zbl 0247.47010
[15] - , Semi-classical aproximation in quantum mechanics, D. Riedel Publishing Compay, Dordrecht, Holland (1981). | Zbl 0458.58001
[16] - , Assymptotics of operators and PseudoDifferential Equations, Consultants Bureau, New York (1988). | MR 954389
[17] , Autour de l'approximation Semi-classique, Progress in Mathematics, 68, Birkhäuser (1987). | MR 897108 | Zbl 0621.35001
[18] , Feynman Path Integrals and Quantum Mechanics as ˇK0, J. Math. Phys., Vol. 17, no. 10 (1976), pp. 1852-1862. | MR 418760