Group Theoretical Description of Two-Electron Wave Functions in Systems with Subgroups of Symmetry

摘要

A method for group theoretical description of two-electron wave functions,based on the Mackey theorem on symmetrized squares,is developed.It is shown that the Mackey theorem makes it possible to construct basis functions and to label repeating representations.The technique is applied to molecules of O_h symmetry and to space groups with point groups D_(2h) and D_(4h) Application of the results to high-T_c superconductors is discussed.