@article{AIHPA_1990__52_1_1_0, author = {Wang, Xue-Ping}, title = {Resonances of {N-body} {Schr\"odinger} operators with stark effect}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {1--30}, publisher = {Gauthier-Villars}, volume = {52}, number = {1}, year = {1990}, mrnumber = {1046083}, zbl = {0702.35187}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1990__52_1_1_0/} }
Wang, Xue-Ping. Resonances of N-body Schrödinger operators with stark effect. Annales de l'I.H.P. Physique théorique, Tome 52 (1990) no. 1, pp. 1-30. http://www.numdam.org/item/AIHPA_1990__52_1_1_0/
[1] Lectures on Exponential Decay of Solutions of Second Order Elliptic Equations, Math. Notes, No. 29, Princeton Univ. Press, 1982. | MR | Zbl
,[2] A Class of analytic Perturbations for One-body Schrödinger Hamiltonians, Comm. Math. Phys., Vol. 22, 1971, pp. 269-279. | MR | Zbl
and ,[3] On the Electronic Spectrum of the Diatomic Molecular Iron, Comm. Math. Phys., Vol. 41, 1975, pp. 119-134. | MR
and ,[4] Spectral Properties of Many-Body Schrödinger Operators with Dilation Analytic Interactions, Comm. Math. Phys., Vol. 22, 1971, pp. 180-194. | MR | Zbl
and ,[5] The Shape Resonances, Comm. Math. Phys., Vol. 110, 1987, pp. 215-236. | MR | Zbl
, , and ,[6] Resonances Defined by Modified Dilations, Helv. Phys. Acta, Vol. 58, 1985, pp. 969-981. | MR
,[7] Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. IV., Comm. Math. Phys., Vol. 64, 1978, pp. 1-34. | MR | Zbl
, , and ,[8] Resonances in Stark Effect and Perturbation Theory, Comm. Math. Phys., Vol. 62, 1979, pp. 63-96. | MR
and ,[9] Resonances in the Stark Effect of Atomic Systems, Comm. Math. Phys., Vol. 79, 1981, pp. 91-109. | MR | Zbl
and ,[10] The Mathematical Theory of Resonances Whose Widths are Exponentially small, Duke Math. J., Vol. 47, 1980, pp. 845-902. | MR | Zbl
and ,[11] Multiple Wells in the Semiclassical Limit. I, Comm. in P.D.E., Vol. 9, 1984, pp. 337-408. | MR | Zbl
and ,[12] Résonances en limite semi-classique, Bull. Soc. Math. France, Mémoire No. 24/25, 1986. | Numdam | Zbl
and ,[13] Dilation Analyticity in Constant Electric Field, I: the Two-Body Problem, Comm. Math. Phys., Vol. 64, 1979, pp. 279-298. | MR | Zbl
,[14] Contraction Semigroups and the Spectrum of A1⊗I+I⊗A2, J. Operator Theory, Vol. 7, 1982, pp. 61-78. | MR | Zbl
,[15] Dilation Analyticity in Constant Electric Field, II: N-Body Problem, Borel Summability, Comm. Math. Phys., Vol. 80, 1981, pp. 181-216. | MR | Zbl
, ,[16] Sphape Resonances in Quantum Mechanics, Memoirs of A.M.S. (to appear). | MR
and ,[17] The Analysis of Linear Partial Differential Operators, III, Springer-Verlag, Berlin, Heidelberg, 1985. | MR | Zbl
,[18] Distortion Analyticity and Molecular Resonance curves, Ann. Inst. Henri Poincaré, sect. A, Vol. 45, 1986, pp. 339-358. | Numdam | MR | Zbl
,[19] Perturbation Theory for Linear Operators, Berlin Heidelberg, Springer-Verlag, 1966. | MR | Zbl
,[20] Quantum Mechanics, New York, Pergamon Press, 1977.
and ,[21] Methods of Modern Mathematical Physics, IV., New York, Academic Press, 1978. | MR | Zbl
and ,[22] Time-Delay and Spectral Density for Stark Hamiltonians, I. Existence of Time-Delay Operator, Commun. in P.D.E., Vol. 14, 1989.
and ,[23] The Definition of Molecular Resonance Curves by the Method of Exterior Complex Scaling, Phys. Lett., Vol. 71 A, 1979, pp. 211-214.
,[24] Eigenfunction Expansions Associated with Second Order Differential Equations, II., Oxford Univ. Press, 1958. | MR | Zbl
,[25] Low Energy Resolvent Estimates and Continuity of time-Delay Operators, Proc. R. Soc. Edinburgh, Vol. 105A, 1987, pp. 229-242. | MR | Zbl
,[26] Bound on Width of Resonances for Stark Hamiltonians, Acta Math. Sinica (in press). | Zbl
,[27] Asymptotics on Width of Resonances for Stark Hamiltonians (to appear).
,[28] Schrödinger Operators with External Homogeneous Electric and Magnetic Fields, Proc. of Int. School Math. Phys., Erice, 1980, pp. 131-183.
,[29] Sharp Exponential bounds on Resonances States and Width of Resonances, Adv. in Appl. Math., 1988. | MR | Zbl
,[30] Geometric Theory of Stark Resonances in Multi-electron Systems, Comm. in Math. Phys., Vol. 119, 1988, p. 287-314. | MR | Zbl
,[31] Resonances of N-Body Schrödinger Operators with Stark Effect, in Annual Report, Inst. Math., Academia Sinica, 1987, pp. 108-126.
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