High-energy asymptotics for finite-interval Schrödinger operators with Gaussian white-noise potential

Yingdu Dong, Wenwen Jian, Xiaoping Yuan

We study the one-dimensional Schrödinger operator on a fixed interval with Gaussian white-noise potential, \[ H_ω=-\frac{\dd^2}{\dd x^2}+ρ\dot B_x(ω), \] under Dirichlet bounda…