@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}, mrnumber = {1357496}, zbl = {0833.34088}, language = {en}, url = {http://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. http://www.numdam.org/item/AIHPA_1995__63_2_211_0/
[1] 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
and ,[2] 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
and ,[3] The shape resonance, Commun. Math. Phys., Vol. 110, 1987, pp. 215-236. | MR | Zbl
, , and ,[4] Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry, Springer Verlag, Berlin, 1987. | MR | Zbl
, , and ,[5] Harmonic Analysis in Phase Space, Princeton Univ, Press, Princeton, 1989. | MR | Zbl
,[6] Multiple wells in the semiclassical limit, I., Comm. P.D.E., Vol. 9, 1984, pp. 337-408. | MR | Zbl
and ,[7] Résonances en limite semi-classique, Mem. Soc. Math., France, Vol. 24/25, 1986, pp. 1-228. | EuDML | Numdam | MR | Zbl
and ,[8] The Analysis of Linear Partial Differential Operators, Vol. III, Springer Verlag, Berlin, 1985. | MR | Zbl
,[9] Distortion analyticity and molecular resonance curbes, Ann. Inst. H. Poincaré, Vol. 45, 1986, pp. 339-358. | EuDML | Numdam | MR | Zbl
,[10] Perturbation Theory for Linear Operators, 2nd ed., Springer Verlag, Berlin, 1976, | MR
,[11] On the Born-Oppenbeiraer expansion for polyatomic molecules, Commun. Math. Phys., Vol. 143, 1992, pp. 607-639. | MR | Zbl
, , and ,[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. | MR | Zbl
,[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. | MR | Zbl
,