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- W1669751033 abstract "This chapter presents some recent developments, which help both to see the connections between certain concepts and to develop computational procedures. It also discusses the concept of pairing, as a procedure for finding solutions to the general Hartree-Fock equations, when the restricted Hartree-Fock equations are known. The pairing concept has, however, important implications also in other connections. A complete investigation of a variational problem requires a study of the character of the extrema defined by setting the first variation equal to zero. The chapter presents a stability analysis for the single-determinant problem, which takes advantage of the pairing concept. The final variation built on pairing leads to a so-called gap equation, which is derived and discussed. It also focuses on certain applications of these procedures and finally it discusses their connections to methods of the coupled-cluster and Hartree-Fock-Bogoliubov type. The aim of this chapter is only to stress such concepts, which have already been useful in nuclear physics and certain parts of solid-state physics, should be further exploited for the study of electronic correlation in extended systems." @default.
- W1669751033 created "2016-06-24" @default.
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- W1669751033 date "1985-01-01" @default.
- W1669751033 modified "2023-10-09" @default.
- W1669751033 title "Gap Equations and Instabilities for Extended Systems" @default.
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- W1669751033 doi "https://doi.org/10.1016/s0065-3276(08)60303-2" @default.
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