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RPA in wavefunction representation
Author(s) -
Reinhard P.G.,
Gambhir Y. K.
Publication year - 1992
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19925040804
Subject(s) - wave function , linear subspace , representation (politics) , physics , symmetry (geometry) , class (philosophy) , coordinate space , point (geometry) , space (punctuation) , mathematical physics , theoretical physics , quantum mechanics , mathematics , computer science , pure mathematics , geometry , artificial intelligence , politics , political science , law , operating system
The RPA is formulated in subspaces of coordinate‐like and momentum‐like 1 ph operators. This allows to embed a large class of approximative schemes into a generalized RPA treatment. We give a detailed formulation in terms of wavefunctions in coordinate space which is ideally suited to practical programming. In particular, we work out the reduction to spherical tensors in the case of spherical symmetry which is most often the starting point in finite Fermion systems.