@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},
pages = {211--229},
year = {1995},
publisher = {Gauthier-Villars},
volume = {63},
number = {2},
mrnumber = {1357496},
zbl = {0833.34088},
language = {en},
url = {https://www.numdam.org/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) no. 2, pp. 211-229. https://www.numdam.org/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. | Zbl | MR
[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
[3] , , and , The shape resonance, Commun. Math. Phys., Vol. 110, 1987, pp. 215-236. | Zbl | MR
[4] , , and , Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry, Springer Verlag, Berlin, 1987. | Zbl | MR
[5] , Harmonic Analysis in Phase Space, Princeton Univ, Press, Princeton, 1989. | Zbl | MR
[6] and , Multiple wells in the semiclassical limit, I., Comm. P.D.E., Vol. 9, 1984, pp. 337-408. | Zbl | MR
[7] and , Résonances en limite semi-classique, Mem. Soc. Math., France, Vol. 24/25, 1986, pp. 1-228. | Zbl | MR | Numdam | EuDML
[8] , The Analysis of Linear Partial Differential Operators, Vol. III, Springer Verlag, Berlin, 1985. | Zbl | MR
[9] , Distortion analyticity and molecular resonance curbes, Ann. Inst. H. Poincaré, Vol. 45, 1986, pp. 339-358. | Zbl | MR | Numdam | EuDML
[10] , Perturbation Theory for Linear Operators, 2nd ed., Springer Verlag, Berlin, 1976, | MR
[11] , , and , On the Born-Oppenbeiraer expansion for polyatomic molecules, Commun. Math. Phys., Vol. 143, 1992, pp. 607-639. | Zbl | MR
[12] , Estimates on complex interactions in phase space, preprint 1992, Université Paris-Nord (To appear in Mathematische Nachrichten). | MR
[13] , Precise exponential estimates in adiabatic theory, preprint 1993, Université Paris-Nord (To appear in J. Math. Phys.). | MR
[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. | Zbl | MR
[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
[17] , Semiclassical analysis of low-lying eigenvalues, II. Tunneling, Ann. Math., Vol. 120, 1984, pp. 89-118. | Zbl | MR





