Singular continuous Floquet operator for systems with increasing gaps.

DOI10.1016/S0022-247X(02)00277-9zbMath1043.47051MaRDI QIDQ1856962

Olivier Bourget

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spectral analysisharmonic oscillatorFloquet operatoroscillator frequency

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

Floquet operators without singular continuous spectrum ⋮ Generalized Kotani's trick for unitary operators ⋮ On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum ⋮ Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions ⋮ On the continuous spectral component of the Floquet operator for a periodically kicked quantum system

Cites Work

• Spectral properties of a periodically kicked quantum Hamiltonian
• Stability of driven systems with growing gaps, quantum rings, and Wannier ladders.
• Absence of absolutely continuous spectrum of Floquet operators
• Floquet Hamiltonians with pure point spectrum
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• On kicked systems modulated along the Thue-Morse sequence
• Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Singular continuous Floquet operator for systems with increasing gaps.