TL;DR
The paper discusses the Onishi formulas for overlap amplitudes of Bogolyubov quasi-fermion vacua, focusing on the sign ambiguity and relationships among different formulas.
Contribution
It analyzes the sign ambiguity in various Onishi formulas and explores the relationships between different formulas within the family.
Findings
Sign ambiguity is unavoidable in some Onishi formulas.
Certain formulas do not exhibit sign ambiguity.
Relationships between different formulas are clarified.
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.
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Taxonomy
TopicsAdvanced NMR Techniques and Applications · Quantum Chromodynamics and Particle Interactions · Quantum chaos and dynamical systems