Exchange interaction and correlations radically change behavior of a quantum particle in a classically forbidden region
Exchange interaction and correlations radically change behavior of a quantum particle in a classically forbidden region
Exchange interaction strongly influences the long-range behavior of localized electron orbitals and quantum tunneling amplitudes. It produces a power-law decay instead of the usual exponential decrease at large distances. For inner orbitals inside molecules decay is ${r}^{\ensuremath{-}2}$, for macroscopic systems $\text{cos}({k}_{F}r){r}^{\ensuremath{-}\ensuremath{\nu}}$, where ${k}_{F}$ is the Fermi momentum and $\ensuremath{\nu}=3$ for …