@article{AIHPA_1989__50_3_229_0, author = {Huang, Min-Jei}, title = {On stability for time-periodic perturbations of harmonic oscillators}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {229--238}, publisher = {Gauthier-Villars}, volume = {50}, number = {3}, year = {1989}, mrnumber = {1017964}, zbl = {0693.34063}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1989__50_3_229_0/} }
TY - JOUR AU - Huang, Min-Jei TI - On stability for time-periodic perturbations of harmonic oscillators JO - Annales de l'I.H.P. Physique théorique PY - 1989 SP - 229 EP - 238 VL - 50 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1989__50_3_229_0/ LA - en ID - AIHPA_1989__50_3_229_0 ER -
Huang, Min-Jei. On stability for time-periodic perturbations of harmonic oscillators. Annales de l'I.H.P. Physique théorique, Volume 50 (1989) no. 3, pp. 229-238. http://archive.numdam.org/item/AIHPA_1989__50_3_229_0/
[1] Stability and Instability in Quantum Mechanics, in Schrödinger Operators, ed. by S. Graffi. Lecture Notes in Mathematics, 1159, Springer-Verlag, Berlin/Heidelberg/New York/Tokyo, 1985. | MR | Zbl
,[2] A Quantum Particle in a Quadrupole Radio-Frequency Trap. Ann. Inst. H. Poincaré, Sec. A, t. 44, 1986, p. 293-314. | Numdam | MR | Zbl
,[3] Trapping of Quantum Particles for a class of Time-Periodic Potentials : A Semi-Classical Approach, Ann. of Physics, t. 173, 1987, p. 210-225. | MR | Zbl
,[4] The Quantum Stability Problem for Time-Periodic Perturbations of the Harmonic Oscillator Ann. Inst. H. Poincaré, Sec. A, t. 47, 1987, p. 63-83. | Numdam | MR | Zbl
,[5] Bound States and Propagating States for Time-Dependent Hamiltonians. Ann. Inst. H. Poincaré, Sec. A, t. 39, 1983, p. 159-191. | Numdam | MR | Zbl
and ,[6] Ordinary Differential Equations, John Wiley and Sons, New York/London/ Sydney, 1969. | MR | Zbl
,[7] Linear Evolution Equations of Hyperbolic Type, J. Fac. Sci. Univ. Tokyo, Sec. IA, t. 17, 1970, p. 241-258. | MR | Zbl
,[8] On Certain Problems on the Maximum and Minimum of Characteristic Values and the Lyapunov Zones of Stability. Amer. Math. Soc. Transl., t. 1, 1955, p. 163-187. | MR | Zbl
,[9] Methods of Modern Mathematical Physics, t. 2, Fourier Analysis, Self-Adjointness, Academic Press, New York/San Francisco/London, 1975. | Zbl
and ,[10] Methods of Modern Mathematical Physics, t. 4, Analysis of Operators, Academic Press, New York/San Francisco/London, 1978. | Zbl
and ,[11] Linear Differential Equations with Periodic Coefficients, t. 2, John Wiley and Sons, New York/Toronto, 1975.
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