Zhenguo Liang

activity

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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3 papers · 1 filter

math-ph2021★ 9 cited

Reducibility of 1-D Quantum Harmonic Oscillator with Decaying Conditions on the Derivative of Perturbation Potentials

Zhenguo Liang, Zhiqiang Wang

We prove the reducibility of 1-D quantum harmonic oscillators in $R$ perturbed by a quasi-periodic in time potential $V (x, ω t)$ under the following conditions, namely there…

math-ph2021

Reducibility of Quantum Harmonic Oscillator on $R^{d}$ Perturbed by a Quasi-periodic Potential with Logarithmic Decay

Zhenguo Liang, Zhiqiang Wang

We prove the reducibility of quantum harmonic oscillators in $R^{d}$ perturbed by a quasi-periodic in time potential $V (x, ω t)$ with $logarithmic decay$ . By a new est…

math-ph2020★ 2 cited

Reducibility of 1-d Quantum Harmonic Oscillator Equation with Unbounded Oscillation Perturbations

Zhenguo Liang, Jiawen Luo

We build a new estimate relative with Hermite functions based upon oscillatory integrals and Langer's turning point theory. From it we show that the equation $$ i \partial_t u =-\p…

Reducibility of 1-D Quantum Harmonic Oscillator with Decaying Conditions on the Derivative of Perturbation Potentials

Reducibility of Quantum Harmonic Oscillator on Rd Perturbed by a Quasi-periodic Potential with Logarithmic Decay

Reducibility of 1-d Quantum Harmonic Oscillator Equation with Unbounded Oscillation Perturbations

Reducibility of Quantum Harmonic Oscillator on $R^{d}$ Perturbed by a Quasi-periodic Potential with Logarithmic Decay