@article{AIHPA_1995__63_2_211_0,
author = {Nakamura, Shu},
title = {On an example of phase-space tunneling},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {63},
year = {1995},
pages = {211-229},
mrnumber = {1357496},
zbl = {0833.34088},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1995__63_2_211_0}
}
Nakamura, Shu. On an example of phase-space tunneling. Annales de l'I.H.P. Physique théorique, Tome 63 (1995) pp. 211-229. http://gdmltest.u-ga.fr/item/AIHPA_1995__63_2_211_0/
[1] and , An elementary model of dynamical tunneling, in Differential Equations with Applications to Mathematical Physics (F. AMES, J. V., HEROD, E. HARREL eds.), Academic Press, 1993, pp. 1-11. | MR 1207143 | Zbl 0789.35127
[2] and , Local distortion technique and unitarity of the S-matrix for the 2-body problem, J. Math. Anal. Appl., Vol. 54, 1976, pp. 316-347. | MR 413860
[3] , , and , The shape resonance, Commun. Math. Phys., Vol. 110, 1987, pp. 215-236. | MR 887996 | Zbl 0629.47044
[4] , , and , Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry, Springer Verlag, Berlin, 1987. | MR 883643 | Zbl 0619.47005
[5] , Harmonic Analysis in Phase Space, Princeton Univ, Press, Princeton, 1989. | MR 983366 | Zbl 0671.58036 | Zbl 0682.43001
[6] and , Multiple wells in the semiclassical limit, I., Comm. P.D.E., Vol. 9, 1984, pp. 337-408. | MR 740094 | Zbl 0546.35053
[7] and , Résonances en limite semi-classique, Mem. Soc. Math., France, Vol. 24/25, 1986, pp. 1-228. | Numdam | MR 871788 | Zbl 0631.35075
[8] , The Analysis of Linear Partial Differential Operators, Vol. III, Springer Verlag, Berlin, 1985. | MR 404822 | Zbl 0601.35001
[9] , Distortion analyticity and molecular resonance curbes, Ann. Inst. H. Poincaré, Vol. 45, 1986, pp. 339-358. | Numdam | MR 880742 | Zbl 0619.46068
[10] , Perturbation Theory for Linear Operators, 2nd ed., Springer Verlag, Berlin, 1976, | MR 407617
[11] , , and , On the Born-Oppenbeiraer expansion for polyatomic molecules, Commun. Math. Phys., Vol. 143, 1992, pp. 607-639. | MR 1145603 | Zbl 0754.35099
[12] , Estimates on complex interactions in phase space, preprint 1992, Université Paris-Nord (To appear in Mathematische Nachrichten). | MR 1226487
[13] , Precise exponential estimates in adiabatic theory, preprint 1993, Université Paris-Nord (To appear in J. Math. Phys.). | MR 1240530
[14] , Résonances dans l'approximation de Born-Oppenheimer, I., J. Diff. Eq., Vol. 91, 1991, pp. 204-234; II. Commun, Math. Phys., Vol. 135, 1991, pp. 517-530. | MR 1091576 | Zbl 0737.35046
[15] , Tunneling estimates in momentum space and scattering, preprint 1993, University of Tokyo (To appear in Spectral and Scattering Theory (ed. M. IKAWA), Marcel Decker, New York, 1994).
[16] , On Martinez' method of phase space tunneling, preprint, 1994, University of Tokyo (To appear in Rev. Math. Phys.). | MR 1326141
[17] , Semiclassical analysis of low-lying eigenvalues, II. Tunneling, Ann. Math., Vol. 120, 1984, pp. 89-118. | MR 750717 | Zbl 0626.35070