Connecting N-representability to Weyl's problem: The one-particle density matrix for N = 3 and R = 6

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 45, 2007, Pages

  Ruskai, Mary Beth ^a  

^a TUFTS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35548968929     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/45/F01     Document Type: Article

References (11)

1. Altunbulak M and Klyachko A private communication
2. Borland R E and Dennis K 1972 The conditions on the one-matrix for three-body fermion wavefunctions with one-rank equal to six J. Phys. B: At. Mol. Phys. 5 7-15
3. Coleman A J 1963 The structure of fermion density matrices Rev. Mod. Phys. 35 668-87
4. Coleman A J 1962 The structure of fermion density matrices Uppsala Report No 80 (June)
5. Foldy L L 1962 Antisymmetric functions and Slater determinants J. Math. Phys. 3 531-8
6. Horn R A and Johnson C R 1985 Matrix Analysis (Cambridge: Cambridge University Press)
7. Klyachko A 1998 Stable bundles, representation theory and Hermitian operators Sel. Math. 4 419-45
8. Klyachko A 2006 Quantum marginal problem and N-representability J. Phys.: Conf. Ser. 36 72-86 (Preprint quant-ph/0511102)
9. Knutson A and Tao T 2001 Honeycombs and sums of Hermitian matrices Not. Am. Math. Soc. 48 175-86
10. Ruskai M B 1970 N-representability problem: particle-hole equivalence J. Math. Phys. 11 3218-24
11. Weyl H 1912 Das asymptotische verteilungsgesetzder eigenwerte linearer linearer parteiller differentialgleichungen Math. Ann. 71 441-79