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arxiv: 1108.5479 · v2 · pith:4CDMW5HInew · submitted 2011-08-27 · ⚛️ nucl-th

Symmetry restoration in Hartree-Fock-Bogoliubov based theories

classification ⚛️ nucl-th
keywords symmetrybogoliubovformulagoodrestorationstateswaveambiguity
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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.

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