3 papers
math.AP2026
Generalized Reducibility and Growth of Sobolev Norms
Zhenguo Liang, Zhiyan Zhao
We introduce the concept of {\it generalized reducibility}, which provides a flexible framework for analyzing the long-time behavior of solutions to quadratic quantum Hamiltonians.…
math-ph2020
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…
physics.app-ph2019
Perfect Seismic Wave Absorbers for the 8th Magnitude Earthquakes
Liang Sun, Feilong Xu, Zhen Liang +2
Most modern buildings and infrastructures are not designed to resist 8th magnitude earthquakes, for which studies on phononic crystals and local resonators reported so far are not…