N-Representability Problem: Particle-Hole Equivalence
Mary Beth Ruskai · Journal of Mathematical Physics · 1970
It is shown that every p matrix has a dual matrix which describes the p-hole properties of the system. A general procedure is given for using particle-hole equivalence to obtain new N-representability conditions. In particular, necessary and sufficient conditions are given for both pure and ensemble N-representability of p matrices whose 1-rank is N + p.