@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},
volume = {52},
year = {1990},
pages = {377-395},
mrnumber = {1062905},
zbl = {0699.58059},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1990__52_4_377_0}
}
Herczyński, Jan. Semiclassical limit for perturbations of non-resonant rotators. Annales de l'I.H.P. Physique théorique, Tome 52 (1990) pp. 377-395. http://gdmltest.u-ga.fr/item/AIHPA_1990__52_4_377_0/
[1] , and , Transition from classical mechanics to quantum mechanics: x4 perturbed harmonic oscillator, Phys. Rev. A (to appear).
[2] , and , Classical perturbation theory for systems of weakly coupled rotators, Il Nuovo Cimento, 89 B, 1985, 89-102. | MR 818425
[3] , Atomic Mechanics, Bell, London 1960.
[4] and , Smooth prime integrals for quasi-integrable Hamiltonian systems, Il Nuovo Cimento, 67B, 1982, 277-295. | MR 657905
[5] , The elements of mechanics, Berlin, Heidelberg, New York: Springer, 1983. | MR 698947 | Zbl 0512.70001
[6] and , The Schrödinger equation and canonical perturbation theory, Commun. Math. Phys, 108, 1987, 25-40. | MR 872139 | Zbl 0622.35071
[7] , and , Classical resonance overlapping and quantum avoided crossings, Phys. Rev. Lett., 59, 1987, 255-258.
[8] , and , Resonance overlapping in classical mechanics and avoided crossings in quantum mechanics, CPT preprint P. 2025, 1987. | MR 932922
[9] , The Analysis of linear partial differential operators, Berlin, Heidelberg, New York: Springer, 1983. | MR 404822
[10] and , On integrability of Hamiltonian systems with toroidal configuration space, Mat. Sbornik, 135, 1988, 119-138 (in Russian). | Zbl 0696.58022
[11] , Quantum mechanics, North-Holland, Amsterdam 1961. | MR 129790 | Zbl 0102.42602
[12] and , Methods of modern mathematical physics, IV, New York: Academic Press, 1978. | MR 751959 | Zbl 0401.47001
[13] , Classical limit and Stieltjes property of perturbation series for classical anharmonic oscillators, Il Nuovo Cimento, 82B, 1984, 203-217. | MR 770737
[14] , Bounds on the trajectories of a system of weakly coupled rotators, Commun. Math. Phys., 104, 1986, 21-36. | MR 834479 | Zbl 0615.70013
[15] , The return of the quartic oscillator, Ann. Inst. Henri Poincaré, 39, 1983, 211-338. | Numdam | MR 729194 | Zbl 0526.34046