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GRMS or Graphical Representation of Model Spaces: Vol. 1 Basics
Limited preview - 2012
adapted antisymmetric basis branching diagram calculation of matrix coefficients complicated corresponding coupled cycles cyclic permutation density matrix dimension Diophantine equations doubly occupied orbital Duch and Karwowski ECorr electrons elementary loops example fagot graph formula four-segment loops four-slope graph full space Gelfand gives GL(n graph of Fig graph theory graphical representation graphical rules group theory Karwowski 1985 labeling many-particle matrix elements model space multiplication non-fagot graphs non-zero elements number of particles number of paths obtained one-particle orbital configurations orbital orderings pairs Paldus permutation perturbation theory point group symmetries represented reversed lexical ordering S-diagram segment values Shavitt shift operators shown in Fig simple singlet singly occupied arcs singly occupied orbitals slopes spin eigenfunctions spin functions spin orbitals spin path subgraph subspaces symmetric group symmetry Sz-adapted Table three-slope graph transposition two-particle operator two-segment loops unitary group vertex vertices