Eigensystem of an extended Hubbard model on a triangle

(see the paper: [2] Rigorous solution of a Hubbard model extended by nearest neighbour Coulomb and exchange interaction on a triangle and tetrahedron )
Some remarks:
  1. The numbers correspond to the state-numbers used in the tables, given in the appendix of Ref. [2].

  2. The first two lines give the quantum numbers used to differ the eigenstates,
    i.e. the electron occupation, the total spin of the state, the total spin projection,
    and the irreducible representation of the tetrahedral group.
    The next line gives the energy eigenvalue.
    The third line indicates the ket-vector again by the quantum numbers.
    It follows the eigenvector given in local Hubbard basis states.
    To get it in human-readable form I abbreviated the coefficients.
    These local abbreviations and the normalization constant of the eigenvectors
    are given separately at the end of every page.
    The local abbreviations contain global abbreviations Ai and Θi,
    which are given here or, alternatively, in the appendix B.2 of Ref. [1].

  3. The pdf-files can be viewed using Adobe-reader
    If somebody wants to work with the eigenstates,
    please, ask for the computer-generated unedited TeX-files via e-mail.

  1. Eigenvalues and Eigenvectors for Ne=0:
    1
  2. Eigenvectors for Ne=1:
    2 3 4 5 6 7
  3. Eigenvectors for Ne=2:
    8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
  4. Eigenvectors for Ne=3:
    23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
  5. Eigenvectors for Ne=4:
    43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
  6. Eigenvectors for Ne=5:
    58 59 60 61 62 63
  7. Eigenvectors for Ne=6:
    64


(counter out of work) page requests since Jan 31 2001