Symmetry restoration in Hartree-Fock-Bogoliubov based theories

Abstract

We present a pfaffian formula for projection and symmetry restoration for wave functions of the general Bogoliubov form, including quasiparticle excited states and linear combinations of them. This solves a long-standing problem in calculating states of good symmetry, arising from the sign ambiguity of the commonly used determinant formula. A simple example is given of projecting good particle number and angular momentum from a Bogoliubov wave function in the Fock space of a single j-shell.

5 pages and 1 table, revised version include more general results

References in corpus (3)

• The sign of the overlap of HFB wave functions
• Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem
• Technical aspects of the evaluation of the overlap of Hartree- Fock- Bogoliubov wave functions

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