The N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour

Akhiezer, 1961, Vol. I Akhiezer, 1963, Vol. II Busch, 1991 Busch, 1989, Found. Phys. Lett., 2, 331, 10.1007/BF00690299 Coleman, 1963, Rev. Mod. Phys., 35, 668, 10.1103/RevModPhys.35.668 Coleman, 1965, J. Math. Phys., 6, 1425, 10.1063/1.1704794 Coleman, 1972, J. Math. Phys., 13, 214, 10.1063/1.1665956 Coleman, 1973, Rep. Math. Phys., 4, 113, 10.1016/0034-4877(73)90017-7 Davidson, 1969, J. Math. Phys., 10, 725, 10.1063/1.1664899 Davies, 1970, Commun. Math. Phys., 17, 239, 10.1007/BF01647093 Davies, 1976 Erdahl, 1972, J. Math. Phys., 13, 1608, 10.1063/1.1665885 Erdahl, 1978, Int. J. Quant. Chem., 13, 697, 10.1002/qua.560130603 Erdahl, 1978, Rep. Math. Phys., 14, 405, 10.1016/0034-4877(78)90009-5 Erdahl, 1974, 13 1987 Garrod, 1964, J. Math. Phys., 5, 1756, 10.1063/1.1704098 Grabowski, 1990 Grudziński, 1975, Rep. Math. Phys., 8, 271, 10.1016/0034-4877(75)90069-5 Grudziński, 1976, Rep. Math. Phys., 9, 199, 10.1016/0034-4877(76)90055-0 Grudziński, 1985, Int. J. Quant. Chem., 27, 709, 10.1002/qua.560270608 Grudziński, 1986, A Study of the Convex Structure of the Set of Fermion N-representable 2-density Operators, 20 Helstrom, 1976 Holevo, 1982 Kuhn, 1960, 10, 141 Kummer, 1967, J. Math. Phys., 8, 2063, 10.1063/1.1705122 Kummer, 1977, Int. J. Quant. Chem., 12, 1033, 10.1002/qua.560120606 Kummer, 1977, J. Math. Phys., 18, 329, 10.1063/1.523269 Kummer, 1977, J. Math. Phys., 18, 335, 10.1063/1.523273 Löwdin, 1955, Phys. Rev., 97, 1474, 10.1103/PhysRev.97.1474 Löwdin, 1955, Phys. Rev., 97, 1490, 10.1103/PhysRev.97.1490 Löwdin, 1955, Phys. Rev., 97, 1512 Ludwig, 1983, Vol. I Ludwig, 1986, Vol. II McRae, 1972, J. Math. Phys., 13, 1527, 10.1063/1.1665874 Mc Weeny, 1960, Rev. Mod. Phys., 32, 335, 10.1103/RevModPhys.32.335 Ozawa, 1984, J. Math. Phys., 25, 79, 10.1063/1.526000 von Neumann, 1955 Prugovecki, 1971 Prugovecki, 1986 Yeseloff, 1969, J. Math. Phys., 10, 703, 10.1063/1.1664896