On an example of phase-space tunneling
Annales de l'I.H.P. Physique théorique, Tome 63 (1995) no. 2, pp. 211-229.
@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},
     publisher = {Gauthier-Villars},
     volume = {63},
     number = {2},
     year = {1995},
     zbl = {0833.34088},
     mrnumber = {1357496},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1995__63_2_211_0/}
}
TY  - JOUR
AU  - Nakamura, Shu
TI  - On an example of phase-space tunneling
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1995
DA  - 1995///
SP  - 211
EP  - 229
VL  - 63
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1995__63_2_211_0/
UR  - https://zbmath.org/?q=an%3A0833.34088
UR  - https://www.ams.org/mathscinet-getitem?mr=1357496
LA  - en
ID  - AIHPA_1995__63_2_211_0
ER  - 
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 1207143 | Zbl 0789.35127

[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 413860

[3] J.M. Combes, P. Duclos, M. Klein and R. Seiler, The shape resonance, Commun. Math. Phys., Vol. 110, 1987, pp. 215-236. | MR 887996 | Zbl 0629.47044

[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 883643 | Zbl 0619.47005

[5] G.B. Folland, Harmonic Analysis in Phase Space, Princeton Univ, Press, Princeton, 1989. | MR 983366 | Zbl 0682.43001

[6] B. Helffer and J. Sjöstrand, Multiple wells in the semiclassical limit, I., Comm. P.D.E., Vol. 9, 1984, pp. 337-408. | MR 740094 | Zbl 0546.35053

[7] B. Helffer and J. Sjöstrand, Résonances en limite semi-classique, Mem. Soc. Math., France, Vol. 24/25, 1986, pp. 1-228. | EuDML 94865 | Numdam | MR 871788 | Zbl 0631.35075

[8] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. III, Springer Verlag, Berlin, 1985. | MR 404822 | Zbl 0601.35001

[9] W. Hunziker, Distortion analyticity and molecular resonance curbes, Ann. Inst. H. Poincaré, Vol. 45, 1986, pp. 339-358. | EuDML 76343 | Numdam | MR 880742 | Zbl 0619.46068

[10] T. Kato, Perturbation Theory for Linear Operators, 2nd ed., Springer Verlag, Berlin, 1976, | MR 407617

[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 1145603 | Zbl 0754.35099

[12] A. Martinez, Estimates on complex interactions in phase space, preprint 1992, Université Paris-Nord (To appear in Mathematische Nachrichten). | MR 1226487

[13] A. Martinez, Precise exponential estimates in adiabatic theory, preprint 1993, Université Paris-Nord (To appear in J. Math. Phys.). | MR 1240530

[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 1091576 | Zbl 0737.35046

[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 1326141

[17] B. Simon, Semiclassical analysis of low-lying eigenvalues, II. Tunneling, Ann. Math., Vol. 120, 1984, pp. 89-118. | MR 750717 | Zbl 0626.35070