Local and global properties of eigenfunctions and one-electron densities of Coulombic Schrodinger operators

摘要

We review recent results by the authors on the regularity of molecular eigenfunctions and their corresponding one-electron densities , as well as of the spherically averaged one-electron atomic density . Furthermore, we prove an exponentially decreasing lower bound for in the case when the eigenvalue is below the essential spectrum. This result also holds when the Hamiltonian is restricted to symmetry subspaces.