On an example of phase-space tunneling
Annales de l'I.H.P. Physique théorique, Tome 63 (1995) no. 2, pp. 211-229. 
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     title = {On an example of phase-space tunneling},
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     pages = {211--229},
     publisher = {Gauthier-Villars},
     volume = {63},
     number = {2},
     year = {1995},
     mrnumber = {1357496},
     zbl = {0833.34088},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1995__63_2_211_0/}
}
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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. http://www.numdam.org/item/AIHPA_1995__63_2_211_0/

[1] J. Asch and P. Duclos, 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 | Zbl

[2] D. Babbit and E. Balslev, 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] J.M. Combes, P. Duclos, M. Klein and R. Seiler, The shape resonance, Commun. Math. Phys., Vol. 110, 1987, pp. 215-236. | MR | Zbl

[4] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry, Springer Verlag, Berlin, 1987. | MR | Zbl

[5] G.B. Folland, Harmonic Analysis in Phase Space, Princeton Univ, Press, Princeton, 1989. | MR | Zbl

[6] B. Helffer and J. Sjöstrand, Multiple wells in the semiclassical limit, I., Comm. P.D.E., Vol. 9, 1984, pp. 337-408. | MR | Zbl

[7] B. Helffer and J. Sjöstrand, Résonances en limite semi-classique, Mem. Soc. Math., France, Vol. 24/25, 1986, pp. 1-228. | EuDML | Numdam | MR | Zbl

[8] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. III, Springer Verlag, Berlin, 1985. | MR | Zbl

[9] W. Hunziker, Distortion analyticity and molecular resonance curbes, Ann. Inst. H. Poincaré, Vol. 45, 1986, pp. 339-358. | EuDML | Numdam | MR | Zbl

[10] T. Kato, Perturbation Theory for Linear Operators, 2nd ed., Springer Verlag, Berlin, 1976, | MR

[11] M. Klein, A. Martinez, R. Seiler and X.P. Wang, On the Born-Oppenbeiraer expansion for polyatomic molecules, Commun. Math. Phys., Vol. 143, 1992, pp. 607-639. | MR | Zbl

[12] A. Martinez, Estimates on complex interactions in phase space, preprint 1992, Université Paris-Nord (To appear in Mathematische Nachrichten). | MR

[13] A. Martinez, Precise exponential estimates in adiabatic theory, preprint 1993, Université Paris-Nord (To appear in J. Math. Phys.). | MR

[14] A. Martinez, 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 | Zbl

[15] S. Nakamura, 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] S. Nakamura, On Martinez' method of phase space tunneling, preprint, 1994, University of Tokyo (To appear in Rev. Math. Phys.). | MR

[17] B. Simon, Semiclassical analysis of low-lying eigenvalues, II. Tunneling, Ann. Math., Vol. 120, 1984, pp. 89-118. | MR | Zbl