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• W3099205901 abstract "In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of the perturbation in [24] are weakened from polynomial decay to logarithmic decay. As a consequence, we can apply it to 1D quantum harmonic oscillators and prove the reducibility of the linear harmonic oscillator, , on perturbed by the quasi-periodic in the time potential with logarithmic decay. This proves the pure-point nature of the spectrum of the Floquet operator K, where K:=−i∑k=1nωk∂∂θk−d2dx2+x2+εV(x,θ;ω) is defined on , and the potential has logarithmic decay as well as its gradient in ω." @default.
• W3099205901 created "2020-11-23" @default.
• W3099205901 creator A5007383219 @default.
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• W3099205901 date "2017-02-23" @default.
• W3099205901 modified "2023-10-17" @default.
• W3099205901 title "Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay" @default.
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• W3099205901 doi "https://doi.org/10.1088/1361-6544/aa5d6c" @default.
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