Résonances de Feschbach en limite semi-classique
Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)
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topRouleux, M.. "Résonances de Feschbach en limite semi-classique." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-11. <http://eudml.org/doc/112130>.
@article{Rouleux1995-1996,
author = {Rouleux, M.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Résonances de Feschbach en limite semi-classique},
url = {http://eudml.org/doc/112130},
year = {1995-1996},
}
TY - JOUR
AU - Rouleux, M.
TI - Résonances de Feschbach en limite semi-classique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - fre
UR - http://eudml.org/doc/112130
ER -
References
top- [Ba] H. BakloutiAsymptotique des largeurs de résonances pour un modèle d'effet tunnel microlocal microlocal. Thèse U. Paris Nord, 1995
- [Be] M.V. Berry 1. Quantal phase factors accompying adiabatic changes. Proc. R. Soc. London A 1984. p. 45-57. (reprinted in [ShWi]) 2. Asymptotics, Superasymptotics, Hyperasymptotics, in: Asymptotics beyond all orders. Segur, ed. Plenum PressN.Y. 1991. Zbl1113.81306MR738926
- [CdVPa] Y. Colin de Verdière B.Parisse 1. Equilibre instable en régime semi-classique I. Concentration microlocale. Comm. Part. Diff.Eq. 252, 1993. 2. Equilibre instable en régime semi-classique II. Conditions de Bohr Sommerfeld. Ann. Inst. H. Poincaré. Phys. Théorique. 61(3) 1994. p.347-367 Zbl0845.35076MR1311072
- [CoDuSe] J.M. Combes P. Duclos R. SeilerThe Born-Oppenheimer approximation, in: Rigorous atomic and Molecular Physics, Velo and Wightman, eds. Plenum Press, 1981, p.185-212.
- [DeDi] E. Delabaere H.Dillinger Contribution á la résurgence quantique. Thèse. U. Nice, 1991
- [DuMe] P. Duclos B.Meller A simple model for predissociation, in: Operator Theory: Advances and Applications. Vol. 70, Birkhäuser. Zbl0831.47005MR1309010
- [Gr] A. GrigisRésonances par correspondance. Séminaire EdP, Ecole Polytechnique. 1994-95 Exposé no 23 Zbl0881.35100MR1362571
- [GrSj] A. Grigis J.Sjöstrand Microlocal Analysis for Differential Operators.Cambridge University Press1994. Zbl0804.35001MR1269107
- [Ha] G. HagedornMolecular propagation through electron energy level crossings. Memoirs A.M.S. 536, 111, 1994 Zbl0833.92025MR1234882
- [HaJo] G. Hagedorn A. JoyeLandau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation. Preprint CPT-95/P. 3215, 1995.
- [HeSj] B. Helffer J. Sjöstrand1. Résonances en limite semi-classique. Bull. Soc. Math. France114(3) 1986. Mémoire no 24/25. 2. Semiclassical analysis for Harper equation III. Cantor structure of the spectrum. Bull. Soc. Math. France117(4) 1989. Mémoire no 39. Zbl0631.35075MR871788
- [HeMa] B. Helffer A.Martinez Comparaison entre les diverses notions de résonances. Helv. Phys. Acta60, 1987 p.992-1008 MR929933
- [Hu] W. HunzikerDistorsion analyticity and molecular resonances curves. Ann. I. H. P. Phys. Th.45(3), 1986 p.485-494 Zbl0619.46068MR880742
- [Iv] V. IvrïiSemiclassical Microlocal Analysis and Precise Spectral Asymptotics. Preprint Ecole Polytechnique, 1990, disponible aussi par: ftp://www.scar.toronto.edu/pub/math.preprints/ivrii/Book. Zbl0906.35003MR1631419
- [JaSe] V. Jakšić J. SegertExponential approach to the adiabatic limit and the Landau-Zener formula. Preprint Caltech, 1994. Zbl0769.34006MR1197550
- [Jo] A. JoyeProof of the Landau-Zener formula. Asympt. Anal.9(3), 1994 p.202-259 [KaRo] N. Kaïdi M. RouleuxForme normale d'un hamiltonien à 2 niveaux près d'un point de branchement (limite semi-classique.)C.R. Acad. Sci. ParisI1171993. p.359-364 Zbl0814.35109MR1295294
- [KlMaWa] M. Klein A. Martinez X.P. WangOn the Born-Oppenheimer approximation of wave operators in molecular scattering theory. Comm. Math. Physics, 152, 1993, p.73-95 Zbl0778.35088MR1207670
- [KIMaSeWa] M. Klein A. Martinez R. Seiler X.P. WangOn the Born-Oppenheimer expansion for polyatomic molecules, Comm. Math. Physics, 143, 1992, p.606-639 Zbl0754.35099MR1145603
- [Ko] J. Korsch Semiclassical description of resonances, in: Resonances, Brändas Elander, eds, Lect. Notes Phys. 325, Springer, 1989 p.253-280 MR1022494
- [LaLi] L. Landau E. LifchitzPhysique Théorique. Mécanique Quantique, Mir, 1967. Zbl0144.47605
- [Ma] A. Martinez 1. Résonances dans l'approximation de Born-Oppenheimer. J.of Diff. Eq. 91, 1991, p.517-530. 2. Estimates on complex interactions in phase space. Math. Nachr.167, 1994 p.203-257 Zbl0737.35046
- [MaMes] A. Martinez B. MessirdiResonances of diatomic molecules in the Born- Oppenheimer approximation. Comm. Part. Diff. Eq. 19 (7 et 8), 1994, p.1139-1162 Zbl0826.35148MR1284804
- [Mä] Ch. MärzSpectral asymptotics for Hill's equation near the potential maximum. Asymptotic Anal.51992, p.221-267 Zbl0786.34080MR1145112
- [Me] B. MellerThèseU. Toulon, 1995
- [MöKo] R. Möhlenkamp J. KorschSemi-classical complex energy quantization for coupled equations: Feshbach resonances and predissociation. Phys. Rev.A34(6), 1986 p.4717-4721
- [Na] S. NakamuraOn an example of phase-space tunneling. Ann. I.H. P. Phys. Th. 63(2), 1995, p.211-229 Zbl0833.34088MR1357496
- [N] L. NedelecRésonances semi-classiques pour l'opérateur de Schrödinger matriciel en dimension 2. Ann. I.H P. Phys. Th. 1995 Zbl0915.35091
- [Ra] A. RaphaelianIon-atom scattering within a Born-Oppenheimer framework. Dissertation T.U. Berlin, 1986.
- [Ro] M. RouleuxFeshbach resonances in the semi-classical limit. Preprint CPT/P.3230, 1995
- [ShWi] A. Shapere F.Wilczek Geometric Phases in Physics. World Scientific, Vol 5, 1989 Zbl0914.00014MR1084385
- [Sj] J. Sjöstrand 1. Singularités analytiques microlocales. Astérisque951982. 2. Density of states oscillations for Magnetic Schrödinger operators. In: Bennewitz (ed.) Differential Equations and Mathematical Physics 1990. Univ. of Alabama, Birmingham. p.295-345 3. Function spaces associated to global I-lagrangian manifolds. Preprint Ecole Polytechnique no 1111, 1995. Zbl0524.35007MR699623
- [So] V. SordoniBorn-Oppenheimer expansion for excited states of diatomic molecules. C. R. Acad. Sc. Paris I, 320, 1994 p.1091-1096 Zbl0827.35111MR1332617
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