Pure point spectrum for the time evolution of a periodically rank-N kicked Hamiltonian

DOI10.1063/1.1841482zbMath1076.81016arXivmath-ph/0404006OpenAlexW3104760585WikidataQ57169921 ScholiaQ57169921MaRDI QIDQ3024232

Bruce H. J. McKellar, James M. McCaw

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404006

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Dynamical localization for unitary Anderson models ⋮ Floquet operators without singular continuous spectrum ⋮ Generalized Kotani's trick for unitary operators ⋮ On the continuous spectral component of the Floquet operator for a periodically kicked quantum system

Cites Work

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• Differential equations with applications to mathematical physics
• Spectral properties of a periodically kicked quantum Hamiltonian
• Perturbation theory of dense point spectra
• Diffusive energy growth in classical and quantum driven oscillators
• On computability of decaying and nondecaying states in quantum systems with Cantor spectra
• Quantum systems with fractal spectra
• The abstract theory of scattering
• Stationary scattering theory for time-dependent Hamiltonians
• Quantum dynamics and decompositions of singular continuous spectra
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• Scattering theory for Hamiltonians periodic in time
• Perturbations of Self-Adjoint Transformation

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