@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}, publisher = {Seminario Matematico of the University of Padua}, volume = {111}, year = {2004}, mrnumber = {2076731}, zbl = {1139.81303}, language = {sp}, url = {http://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 - http://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 http://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. http://www.numdam.org/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 | Zbl
- ,[2] Analyse fonctionelle, Masson Editeur, Paris (1983). | MR | Zbl
,[3] Introduction à la théorie des equations aux derivées partielles linéaires, Gauthier-Villars, Paris (1981). | MR | Zbl
- ,[4] Spectre d'un hamiltonien quantique et mécanique classique, Comm. Partial Diff. Equat., 5, no. 6 (1980), pp. 595-644. | MR | Zbl
,[5] Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities, Comm. Pure and Appl. Math., Vol. 27 (1974), pp. 207-281. | MR | Zbl
,[6] Semiclassical quantum mechanics I. The ˇK0 limit for coherent states, Comm. Math. Phys., 71, no. 1 (1980), pp. 77-93. | MR
,[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
,[9] La propagation des ondes; I.R.M.A., Strasbourg (1978).
,[10] Études sur la mécanique quantique; Asterisque, 111 (1984). | Numdam | MR | Zbl
,[11] Théorie spectrale pour des opérateurs globalement elliptiques, Asterisque 112 (1984). | Numdam | MR | Zbl
,[12] Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. Inst. Fourier, Grenoble 31, 3 (1981), pp. 169-223. | Numdam | MR | Zbl
- ,[13] Fourier Integral Operators I, Acta Math., 127 (1971), pp. 79-183. | MR | Zbl
,[14] Théorie des perturbations et méthodes assymptotiques, Dunod, Paris (1972). | Zbl
,[15] Semi-classical aproximation in quantum mechanics, D. Riedel Publishing Compay, Dordrecht, Holland (1981). | Zbl
- ,[16] Assymptotics of operators and PseudoDifferential Equations, Consultants Bureau, New York (1988). | MR
- ,[17] Autour de l'approximation Semi-classique, Progress in Mathematics, 68, Birkhäuser (1987). | MR | Zbl
,[18] Feynman Path Integrals and Quantum Mechanics as ˇK0, J. Math. Phys., Vol. 17, no. 10 (1976), pp. 1852-1862. | MR
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