G. J. Fu
Published 2024-12-31Version 1
In this work, I present closed-form formulas for the norm and many-body density matrices between general wave functions with exact particle numbers in pairing theory, using properties of the generalized Kronecker delta. These formulas, expressed as sums of minors and Pfaffians, apply to both even and odd particle-number systems and accommodate pair condensate as well as broken-pair configurations. This formalism directly facilitates applications in the generator coordinate method and symmetry restoration techniques, including angular momentum projection.
Generator coordinate method with proton--neutron pairing fluctuations and magnetic properties of $N=Z$ odd--odd nuclei
Generator coordinate method for transition-state dynamics in nuclear fission
An extension of the generator coordinate method with basis optimization
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