Construction and spectrum of the Anderson Hamiltonian with white noise potential on ${\mathbf{R}}^2$ and ${\mathbf{R}}^3$

Yueh-Sheng Hsu, Cyril Labbé

We propose a simple construction of the Anderson Hamiltonian with white noise potential on ${\mathbf{R}}^2$ and ${\mathbf{R}}^3$ based on the solution theory of the parabolic Anderson…