Pure Point Spectrum of the Floquet Hamiltonian for the Quantum Harmonic Oscillator Under Time Quasi-Periodic Perturbations-Reference-Cited by-同舟云学术

Pure Point Spectrum of the Floquet Hamiltonian for the Quantum Harmonic Oscillator Under Time Quasi-Periodic Perturbations

Published:2007-11-07 Issue:2 Volume:277 Page:459-496
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Wang W. -M.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-007-0379-z.pdf

Reference40 articles.

1. Basu S. (1999). On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets. Discrete Comput. Geom. 22: 1–18

2. Bellissard, J.: Stability and chaotic behavior of quantum rotators in stochastic process in classical and quantum systems. Lecture Notes in Physics, vol. 262. Springer, Berlin (1986)

3. Bourgain J. (1994). Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE. IMRN 11: 475–497

4. Bourgain J. (1998). Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations. Ann. Math 148: 363–439

5. Bourgain J. (2005). Green’s function estimates for latttice Schrödinger operators and applications. Princeton University Press, Princeton, NJ

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