Localization of the continuous Anderson Hamiltonian in $1$-d

Laure Dumaz, Cyril Labbé

We study the bottom of the spectrum of the Anderson Hamiltonian ${\mathcal{H}}_L:=-{\partial }_x^2+\xi$ on $[0,L]$ driven by a white noise $\xi$ and endowed with either Dirichlet or Neu…