The electron-electron interaction is eliminated in the expectation values of the electronic Hamiltonian for two-electron systems. The part of the Hamiltonian referring to the repulsive interaction is gauged away by the local phase of the complex wave functions, much like a gauge eld transformation, thereby leading to a one-electron Hamiltonian. Despite the appearance of complex wave functions, the expectation values of the total momentum operator vanish and Lowdin's criterion holds for the stationary states.
Gauging away the electron–electron interaction by the local phase of complex wave functions in two-electron systems
J_M_C_55-1
(89.92KB)
