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Journal of Mathematical Analysis and Applications

Studies in the theory of the generalized density operators V. The N-fermion representability problem for the second order generalized density operator

C Peltzer, Julius J. Brandstatter

Published Apr 1, 1971• 2 citations
Publisher
DOI
10.1016/0022-247x(71)90151-x

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The NNN-representability problem for the first- and second-order density matrices is considered when NNN is an odd integer. Attention is restricted to those density matrices derivable from functions whose natural spin orbitals have certain paired properties. Neither pairing of spatial orbitals nor special spin properties are required in general, but they are discussed as special cases. New sufficient conditions for NNN-representability of the first-order density matrix are given. The second-order density matrix is studied in detail. Special cases in which the NNN-representability problem for the second-order density matrix can be solved are considered.