Study of the behavior of quantum dynamics as ℏ→0
Rendiconti del Seminario Matematico della Università di Padova, Tome 111 (2004), pp. 25-54 
@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},
     pages = {25--54},
     year = {2004},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {111},
     mrnumber = {2076731},
     zbl = {1139.81303},
     language = {sp},
     url = {https://www.numdam.org/item/RSMUP_2004__111__25_0/}
}
TY  - JOUR
AU  - Haro, Jaume
TI  - Study of the behavior of quantum dynamics as $\hslash \rightarrow 0$
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2004
SP  - 25
EP  - 54
VL  - 111
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_2004__111__25_0/
LA  - sp
ID  - RSMUP_2004__111__25_0
ER  - 
%0 Journal Article
%A Haro, Jaume
%T Study of the behavior of quantum dynamics as $\hslash \rightarrow 0$
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2004
%P 25-54
%V 111
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_2004__111__25_0/
%G sp
%F 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. https://www.numdam.org/item/RSMUP_2004__111__25_0/

[1] S. Albeverio - R. Hoegh-Krohn, 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. | Zbl | MR

[2] H. Brézis, Analyse fonctionelle, Masson Editeur, Paris (1983). | Zbl | MR

[3] J. Chazarain - A. Piriou, Introduction à la théorie des equations aux derivées partielles linéaires, Gauthier-Villars, Paris (1981). | Zbl | MR

[4] J. Chazarain, Spectre d'un hamiltonien quantique et mécanique classique, Comm. Partial Diff. Equat., 5, no. 6 (1980), pp. 595-644. | Zbl | MR

[5] J. J. Duistermat, Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities, Comm. Pure and Appl. Math., Vol. 27 (1974), pp. 207-281. | Zbl | MR

[6] G. A. Hagedorn, Semiclassical quantum mechanics I. The ˇK0 limit for coherent states, Comm. Math. Phys., 71, no. 1 (1980), pp. 77-93. | MR

[7] J. Haro, El límit clàssic de la mecànica quàntica, Tesi Doctoral, U.A.B. (1997).

[8] J. Haro, Étude classique de l'équation de Dirac, Ann. Fond. Louis de Broglie, 23, no. 3-4 (1998), pp. 166-172. | MR

[9] J. Harthong, La propagation des ondes; I.R.M.A., Strasbourg (1978).

[10] J. Harthong, Études sur la mécanique quantique; Asterisque, 111 (1984). | Zbl | MR | Numdam

[11] B. Helffer, Théorie spectrale pour des opérateurs globalement elliptiques, Asterisque 112 (1984). | Zbl | MR | Numdam

[12] B. Helffer - D. Robert, Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. Inst. Fourier, Grenoble 31, 3 (1981), pp. 169-223. | Zbl | MR | Numdam

[13] L. Hormander, Fourier Integral Operators I, Acta Math., 127 (1971), pp. 79-183. | Zbl | MR

[14] V. P. Maslov, Théorie des perturbations et méthodes assymptotiques, Dunod, Paris (1972). | Zbl

[15] V. P. Maslov - M. V. Fedoriuk, Semi-classical aproximation in quantum mechanics, D. Riedel Publishing Compay, Dordrecht, Holland (1981). | Zbl

[16] V. P. Maslov - V. E. Nazaikinski, Assymptotics of operators and PseudoDifferential Equations, Consultants Bureau, New York (1988). | MR

[17] D. Robert, Autour de l'approximation Semi-classique, Progress in Mathematics, 68, Birkhäuser (1987). | Zbl | MR

[18] A. Truman, Feynman Path Integrals and Quantum Mechanics as ˇK0, J. Math. Phys., Vol. 17, no. 10 (1976), pp. 1852-1862. | MR