Weakly regular Floquet Hamiltonians with pure point spectrum

Reviews in Mathematical Physics

Volumn 14, Issue 6, 2002, Pages 531-568

  Duclos, P ^a,b   Lev, O ^c   Stovicek P ^c   Vittot, M ^a  

^a CNRS   (France)

^b UNIVERSITÉ DE TOULON   (France)

^c CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

Floquet Hamiltonian; KAM theory; Perturbation theory; Pure point spectrum; Small divisors

Indexed keywords

EID: 0036600108     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X02001363     Document Type: Article

References (22)

1. Bound states and propagating states for time-dependent Hamiltonians
2. Scattering theory for Hamiltonians periodic in time
3. Scattering theory for Schrödinger equations with potential periodic in time
4. Stability and instability in quantum mechanics
5. The quantum stability problem for time-periodic perturbations of the harmonic oscillator
6. The embedding problems for riemann manifolds
7. On invariant curves of an area preserving mapping of an annulus
8. Floquet Hamiltonian with pure point spectrum
9. Floquet operators with singular spectrum I, II
10. Adiabatic theory: Stability of systems with increasing gaps
11. Absence of absolutely continuous spectrum of floquet operators
12. Perturbation of an eigen-value from a dense point spectrum: A general Floquet Hamiltonian
13. Floquet spectrum for two-level systems in quasi-periodic time dependent fields
14. Superconvergent perturbation method in quantum mechanics
15. Quantum averaging for driven systems with resonances
16. Quantum chaos in fermi-accelerator mode
17. Banach algebras and the general theory of *-algebras, Vol. I algebras and banach algebras
18. How and why to solve the operator equation AX - XB = Y