Wencai Liu

collaborators

2 papers

math-ph2026

A doubled Gordon threshold for palindromic quasiperiodic SchrÃ¶dinger operators

Wencai Liu

We consider one-frequency quasiperiodic SchrÃ¶dinger operators \[ (H_{v,Î±,Î¸}u)(n) = u(n+1)+u(n-1) + v(Î¸+nÎ±)u(n) \] acting on $ℓ^{2} (Z)$ , where $I^\pm \in / Q$ and…

math.SP2026

Proof of geometric Borg's Theorem in arbitrary dimensions

Wencai Liu

Let $I^ + V$ be the discrete SchrÃ¶dinger operator, where $I^$ is the discrete Laplacian on $Z^{d}$ and potential $V : Z^{d} \to C$ is $I^$ -periodic with $Î=q_1\…