"Onishi" formulas

Abstract

The term "Onishi" formula refers to a family of related formulas for the overlap amplitude of two Bogolyubov quasi-fermion vacua. As a common feature, these formulas display a square root, which gives rise to an apparent sign ambiguity. For some members of the family, this sign ambiguity is real and unavoidable while in some other cases it is not. The relation between the different Onishi formulas is discussed.

Comments: Presented at the 40th Anniversary International Workshop on Nuclear Theory, 2-8 July 2023, Rila Mountains, Bulgaria