Trace Moments for Schrödinger Operators with Matrix White Noise and the Rigidity of the Multivariate Stochastic Airy Operator

Pierre Yves Gaudreau Lamarre

We study the semigroups of random Schrödinger operators of the form $\hat{H}f=-\frac{1}{2}{f}^{\prime \prime }+(V+\xi )f$, where $f:I\to {\mathbb{F}}^r$ ($\mathbb{F}=\mathbb{R},\mathbb{C},\mathbb{H}$) are vec…