Wencai Liu

activity

20132026

most citedArithmetic Spectral Transitions for the Maryland Model

36 citations · 389 across the 48 of their papers we have counts for

collaborators

Showing 2018 · math.SPShow all

4 papers · 2 filters

math.SP2018★ 20 cited

Criteria for embedded eigenvalues for discrete Schrödinger operators

Wencai Liu

In this paper, we consider discrete Schrödinger operators of the form, \begin{equation*} (Hu)(n)= u({n+1})+u({n-1})+V(n)u(n). \end{equation*} We view $H$ as a perturbation of the f…

math.SP2018★ 3 cited

Almost Mathieu operators with completely resonant phases

Wencai Liu

Let $α \in R \ Q$ and $β (α) = lim sup_{n \to \infty} (ln q_{n + 1}) / q_{n} < \infty$ , where $p_{n} / q_{n}$ is the continued fraction approximations to $α$ . Let $(H_…

math.SP2018★ 4 cited

Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic Jacobi operators

Wencai Liu, Darren C. Ong

We are interested in diagonal perturbations of a periodic Jacobi operator that introduce embedded eigenvalues in its essential spectrum. Embedding multiple points in the essential…

math.SP2018★ 13 cited

Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators

Wencai Liu, Darren C. Ong

In this paper, we consider the Schrödinger equation, \begin{equation*} Hu=-u^{\prime\prime}+(V(x)+V_0(x))u=Eu, \end{equation*} where $V_{0} (x)$ is 1-periodic and $V (x)$ is a decayin…