KAM for the Quantum Harmonic Oscillator

Author:

Grébert Benoît,Thomann Laurent

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference23 articles.

1. Bambusi D., Graffi S.: Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM method. Commun. Math. Phys. 219(2), 465–480 (2001)

2. Berestycki, H., Lions, P.-L.: Nonlinear scalar field equations. Arch. Rat. Mech. Anal. 82(4), 313–345 and 347–375 (1983)

3. Carles R.: Rotating points for the conformal NLS scattering operator. Dyn. Part. Diff. Eq. 6(1), 35–51 (2009)

4. Delort, J.-M.: Growth of Sobolev norms for solutions of time dependent Schrödinger operators with harmonic oscillator potential. Preprint

5. Eliasson, L.H.: Almost reducibility of linear quasi-periodic systems. In available at http://hal.archives-ouverts.fr/docs/00/46/75/72/PDF/artide.pdf , 2010 Smooth ergodic theory and its applications (Seattle, WA, 1999), Proc. Sympos. Pure Math., 69, Providence, RI: Amer. Math. Soc., 2001, pp. 679–705

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