Zhenguo Liang

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20162026

most cited1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay

27 citations · 65 across the 12 of their papers we have counts for

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math.DS2017★ 7 cited

Reducibility of quantum harmonic oscillator on $R^{d}$ with differential and quasi-periodic in time potential

Zhenguo Liang, Zhiguo Wang

We improve the results by Grébert and Paturel in \cite{GP} and prove that a linear Schrödinger equation on $R^{d}$ with harmonic potential $∣ x ∣^{2}$ and small $t$ -quasiperiodic potenti…

math.DS2016★ 27 cited

1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay

Zhiguo Wang, Zhenguo Liang

In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of perturbation in \cite{GT} are weakened from polynomial decay to logarithm…

Reducibility of quantum harmonic oscillator on Rd with differential and quasi-periodic in time potential

1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay

Reducibility of quantum harmonic oscillator on $R^{d}$ with differential and quasi-periodic in time potential