Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials

Chen Xin, Wang Jian

Consider the Schrödinger operator ${\mathcal{L}}^V=-\Delta +V$ on ${\mathbb{R}}^d$, where $V:{\mathbb{R}}^d\to [0,\infty )$ is a nonnegative and locally bounded potential on ${\mathbb{R}}^d$ so that for all $x\in {\mathbb{R}}^d$…