@article{AIHPA_1990__52_4_377_0, author = {Herczy\'nski, Jan}, title = {Semiclassical limit for perturbations of non-resonant rotators}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {377--395}, publisher = {Gauthier-Villars}, volume = {52}, number = {4}, year = {1990}, mrnumber = {1062905}, zbl = {0699.58059}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1990__52_4_377_0/} }
TY - JOUR AU - Herczyński, Jan TI - Semiclassical limit for perturbations of non-resonant rotators JO - Annales de l'I.H.P. Physique théorique PY - 1990 SP - 377 EP - 395 VL - 52 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1990__52_4_377_0/ LA - en ID - AIHPA_1990__52_4_377_0 ER -
Herczyński, Jan. Semiclassical limit for perturbations of non-resonant rotators. Annales de l'I.H.P. Physique théorique, Volume 52 (1990) no. 4, pp. 377-395. http://archive.numdam.org/item/AIHPA_1990__52_4_377_0/
[1] Transition from classical mechanics to quantum mechanics: x4 perturbed harmonic oscillator, Phys. Rev. A (to appear).
, and ,[2] Classical perturbation theory for systems of weakly coupled rotators, Il Nuovo Cimento, 89 B, 1985, 89-102. | MR
, and ,[3] Atomic Mechanics, Bell, London 1960.
,[4] Smooth prime integrals for quasi-integrable Hamiltonian systems, Il Nuovo Cimento, 67B, 1982, 277-295. | MR
and ,[5] The elements of mechanics, Berlin, Heidelberg, New York: Springer, 1983. | MR | Zbl
,[6] The Schrödinger equation and canonical perturbation theory, Commun. Math. Phys, 108, 1987, 25-40. | MR | Zbl
and ,[7] Classical resonance overlapping and quantum avoided crossings, Phys. Rev. Lett., 59, 1987, 255-258.
, and ,[8] Resonance overlapping in classical mechanics and avoided crossings in quantum mechanics, CPT preprint P. 2025, 1987. | MR
, and ,[9] The Analysis of linear partial differential operators, Berlin, Heidelberg, New York: Springer, 1983. | MR
,[10] On integrability of Hamiltonian systems with toroidal configuration space, Mat. Sbornik, 135, 1988, 119-138 (in Russian). | Zbl
and ,[11] Quantum mechanics, North-Holland, Amsterdam 1961. | MR | Zbl
,[12] Methods of modern mathematical physics, IV, New York: Academic Press, 1978. | MR | Zbl
and ,[13] Classical limit and Stieltjes property of perturbation series for classical anharmonic oscillators, Il Nuovo Cimento, 82B, 1984, 203-217. | MR
,[14] Bounds on the trajectories of a system of weakly coupled rotators, Commun. Math. Phys., 104, 1986, 21-36. | MR | Zbl
,[15] The return of the quartic oscillator, Ann. Inst. Henri Poincaré, 39, 1983, 211-338. | Numdam | MR | Zbl
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