On the spectral gap of higher-dimensional Schrödinger operators on large domains
On the spectral gap of higher-dimensional Schrödinger operators on large domains
We study the asymptotic behaviour of the spectral gap of Schr\"odinger operators in two and higher dimensions and in a limit where the volume of the domain tends to infinity. Depending on properties of the underlying potential, we will find different asymptotic behaviours of the gap. In some cases the …