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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Showing 2017 · math-phShow all

2 papers · 2 filters

math-ph2017★ 2 cited

Continuous quasiperiodic Schrödinger operators with Gordon type potentials

Wencai Liu

Let us concern the quasi-periodic Schrödinger operator in the continuous case, \begin{equation*} (Hy)(x)=-y^{\prime\prime}(x)+V(x,ωx)y(x), \end{equation*} where $V : (R / Z)^{2} \to R$ …

math-ph2017★ 1 cited

Sharp bound on the largest positive eigenvalue for one-dimensional Schrödinger operators

Wencai Liu

Let $H = - D^{2} + V$ be a Schrödinger operator on $L^{2} (R)$ , or on $L^{2} (0, \infty)$ . Suppose the potential satisfies $lim sup_{x \to \infty} ∣ x V (x) ∣ = a < \infty$ . We prove that $H$ a…