Estimations exponentielles précisées en théorie adiabatique
Journées équations aux dérivées partielles (1993), article no. 6, 8 p. 
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     author = {Andr\'e Martinez},
     title = {Estimations exponentielles pr\'ecis\'ees en th\'eorie adiabatique},
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     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {6},
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     publisher = {\'Ecole polytechnique},
     year = {1993},
     mrnumber = {95d:81025},
     language = {fr},
     url = {https://proceedings.centre-mersenne.org/item/JEDP_1993____A6_0/}
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André Martinez. Estimations exponentielles précisées en théorie adiabatique. Journées équations aux dérivées partielles (1993), article  no. 6, 8 p. https://proceedings.centre-mersenne.org/item/JEDP_1993____A6_0/

[ASY] J.E. Avron, R. Seiler, L.G. Yaffe : Adiabatic Theorems and Applications to the Quantum Hall Effect, Commun. Math. Phys. 110, 33-49 (1987). | MR | Zbl

[BoFo] M. Born, V. Fock : Beweis des Adiabatensatzes, Z. Phys. 51, p. 165-169 (1928). | JFM

[Ga] L.M. Garrido : Generalized adiabatic invariance, J. Math. Phys. 5, p. 355-362 (1964). | MR

[HeSj] B. Helffer, J. Sjöstrand : Multiple Wells in the Semiclassical Limit I, Comm. P.D.E., vol. 9, (4), 1984, p. 337-408. | MR | Zbl

[JaSe] V. Jakšić, J. Segert : Exponential approach to the adiabatic limit and the Landau-Zener formula, Rev. Math. Phys., Vol. 4 (4), p. 529-574 (1992). | MR | Zbl

[Jo] A. Joye : Proof of the Landau-Zener Formula, Preprint C.P.T. Marseille, Dec. 1992. | Zbl

[JKP] A. Joye, H. Kunz, C.-E. Pfister : Exponential Decay and Geometric Aspect of Transition Probabilities in the Adiabatic Limit, Annals of Physics 208, p. 299-332 (1991). | MR | Zbl

[JoPf1] A. Joye, C.-E. Pfister : Exponentially small adiabatic invariant for the Schrödinger equation, Commun. Math. Phys. 140, p. 15-41 (1991). | MR | Zbl

[JoPf2] A. Joye, C.-E. Pfister : Superadiabatic evolution and transition probability between two non-degenerate levels isolated in the spectrum, J. Math. Phys. 34 (1993), 454-479. | MR | Zbl

[Ka] T. Kato : On the adiabatic theorem of quantum mechanics, J. Phys. Soc. J. Jpn. 5, 435-439 (1950). | MR

[Le] A. Lenard : Adiabatic invariants to all orders, Ann. Phys. 6, p. 261-276 (1959). | MR | Zbl

[Ma1] A. Martinez : Estimates on Complex Interactions in Phase Space, Preprint Univ. Paris 13, Fev. 1992.

[Ma2] A. Martinez : Estimations sur l'effet tunnel microlocal, Séminaire E.D.P. de l'Ecole Polytechnique, 1991-1992. | Numdam | Zbl

[Ma3] A. Martinez : Precise exponential estimates in adiabatic theory, Preprint Univ. Paris 13, Avril 1993. | Zbl

[Ne1] G. Nenciu : Adiabatic theorem and spectral concentration, Commun. Math. Phys. 82, p. 121-135, (1981). | MR | Zbl

[Ne2] G. Nenciu : Linear Adiabatic Theory. Exponential Estimates, Commun. Math. Phys., to appear (1993). | MR | Zbl

[Ne3] G. Nenciu : Exponential estimates in linear adiabatic theory : dependance on the gap, Preprint Mittag-Leffler Institute, 1993. | Zbl

[Sa] S.J. Sancho : m-th order adiabatic invariance for quantum systems, Proc. Phys. Soc. Lond. 89, p. 1-5 (1966). | Zbl

[Sj1] J. Sjöstrand : Singularités analytiques microlocales, Astérisque n° 95, 1982. | MR | Zbl

[Sj2] J. Sjöstrand : Graduate Lecture at the University of Lund, 1985-1986 (Manuscript).