Exchange interaction radically changes behavior of a quantum particle in a classically forbidden region: simple model

摘要

Exchange interaction strongly influences the long-range behavior of localizedelectron orbitals and quantum tunneling amplitudes.In the Hartree-Fockapproximation the exchange produces a power-law decay instead of the usualexponential decrease at large distances. To show that this effect is real (i.e.not a result of the approximation) we consider a simple model where differenteffects may be accurately analyzed. Applications include huge enhancement ofinner electron ionization by a static electric field or laser field consideredin Ref. M. Ya. Amusia, arxiv:0904.4395