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

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3 papers · 1 filter

math.SP2026

Irreducibility of the Bloch variety for periodic Schrödinger operators in arbitrary dimension

Wencai Liu

Let $d \geq 1$ and $V \in C (T^{d}; C)$ . We prove that the Bloch variety of $- Δ + V$ is irreducible modulo periodicity. The proof combines holomorphic continuation of spect…

math-ph2026

Optimal bounds for embedded eigenvalues of one-dimensional discrete Schrödinger operators with decaying potentials

Jifeng Chu, Wencai Liu, Kang Lyu

In this paper, we consider one-dimensional discrete Schrödinger operators \begin{align} Hu(n)=(Δ+V)u(n)\nonumber \end{align} on $ℓ^{2} (N)$ with a self-adjoint boundary co…

math-ph2026

A doubled Gordon threshold for palindromic quasiperiodic Schrödinger operators

Wencai Liu

We consider one-frequency quasiperiodic Schrödinger operators \[ (H_{v,α,θ}u)(n) = u(n+1)+u(n-1) + v(θ+nα)u(n) \] acting on $ℓ^{2} (Z)$ , where $α \in / Q$ and $v\in…