Stability of oscillators driven by ergodic processes

DOI10.1063/1.530657zbMath0803.58035OpenAlexW2032499568MaRDI QIDQ4298581

H. R. Jauslin, Mahesh G. Nerurkar

Publication date: 8 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530657

zbMATH Keywords

dynamical systemsspectrumquantum harmonic oscillatorergodic process

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ergodic theory (37A99)

Related Items (3)

Forced linear oscillators and the dynamics of Euclidean group extensions ⋮ On quantum stability for systems under quasiperiodic perturbations ⋮ Construction of minimal cocycles arising from specific differential equations

Cites Work

• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• The quantum stability problem for some class of time-dependent Hamiltonians
• Diffusive energy growth in classical and quantum driven oscillators
• Scattering theory for Schrödinger equation with potential periodic in time
• Asymptotic completeness for a quantum particle in a Markovian short range potential
• Stationary scattering theory for time-dependent Hamiltonians
• ASYMPTOTIC COMPLETENESS IN THE PROBLEM OF SCATTERING BY A BROWNIAN PARTICLE
• Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations
• Spectral and stability aspects of quantum chaos

This page was built for publication: Stability of oscillators driven by ergodic processes