@article{JEDP_1993____A6_0, author = {Martinez, Andr\'e}, title = {Estimations exponentielles pr\'ecis\'ees en th\'eorie adiabatique}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {6}, pages = {1--8}, publisher = {Ecole polytechnique}, year = {1993}, mrnumber = {95d:81025}, language = {fr}, url = {http://www.numdam.org/item/JEDP_1993____A6_0/} }
Martinez, André. Estimations exponentielles précisées en théorie adiabatique. Journées équations aux dérivées partielles (1993), article no. 6, 8 p. http://www.numdam.org/item/JEDP_1993____A6_0/
[ASY] Adiabatic Theorems and Applications to the Quantum Hall Effect, Commun. Math. Phys. 110, 33-49 (1987). | MR | Zbl
, , :[BoFo] Beweis des Adiabatensatzes, Z. Phys. 51, p. 165-169 (1928). | JFM
, :[Ga] Generalized adiabatic invariance, J. Math. Phys. 5, p. 355-362 (1964). | MR
:[HeSj] Multiple Wells in the Semiclassical Limit I, Comm. P.D.E., vol. 9, (4), 1984, p. 337-408. | MR | Zbl
, :[JaSe] Exponential approach to the adiabatic limit and the Landau-Zener formula, Rev. Math. Phys., Vol. 4 (4), p. 529-574 (1992). | MR | Zbl
, :[Jo] Proof of the Landau-Zener Formula, Preprint C.P.T. Marseille, Dec. 1992. | Zbl
:[JKP] Exponential Decay and Geometric Aspect of Transition Probabilities in the Adiabatic Limit, Annals of Physics 208, p. 299-332 (1991). | MR | Zbl
, , :[JoPf1] Exponentially small adiabatic invariant for the Schrödinger equation, Commun. Math. Phys. 140, p. 15-41 (1991). | MR | Zbl
, :[JoPf2] Superadiabatic evolution and transition probability between two non-degenerate levels isolated in the spectrum, J. Math. Phys. 34 (1993), 454-479. | MR | Zbl
, :[Ka] On the adiabatic theorem of quantum mechanics, J. Phys. Soc. J. Jpn. 5, 435-439 (1950). | MR
:[Le] Adiabatic invariants to all orders, Ann. Phys. 6, p. 261-276 (1959). | MR | Zbl
:[Ma1] Estimates on Complex Interactions in Phase Space, Preprint Univ. Paris 13, Fev. 1992.
:[Ma2] Estimations sur l'effet tunnel microlocal, Séminaire E.D.P. de l'Ecole Polytechnique, 1991-1992. | Numdam | Zbl
:[Ma3] Precise exponential estimates in adiabatic theory, Preprint Univ. Paris 13, Avril 1993. | Zbl
:[Ne1] Adiabatic theorem and spectral concentration, Commun. Math. Phys. 82, p. 121-135, (1981). | MR | Zbl
:[Ne2] Linear Adiabatic Theory. Exponential Estimates, Commun. Math. Phys., to appear (1993). | MR | Zbl
:[Ne3] Exponential estimates in linear adiabatic theory : dependance on the gap, Preprint Mittag-Leffler Institute, 1993. | Zbl
:[Sa] m-th order adiabatic invariance for quantum systems, Proc. Phys. Soc. Lond. 89, p. 1-5 (1966). | Zbl
:[Sj1] Singularités analytiques microlocales, Astérisque n° 95, 1982. | Numdam | MR | Zbl
:[Sj2]
: Graduate Lecture at the University of Lund, 1985-1986 (Manuscript).