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May 13 – 17, 2019
Venice, Centro Culturale Don Orione Artigianelli
Europe/Rome timezone
NSD2019 Proceedings are now available online at

Hidden symmetries in the HFB norm overlap functions

Not scheduled
SALA PALLADIO (Centro Culturale Don Orione Artigianelli)


Centro Culturale Don Orione Artigianelli


Prof. MAKITO OI (Senshu University)


The mathematical structure of the Onishi formula for the HFB norm overlap
functions is discussed from a viewpoint of the perfect square.
The perfect square here means a kind of polynomials consisting of the Bogoliubov matrix elements. Based on the mathematical analysis, the long-standing ``sign problem'' associated with the square root in the Onishi formula is considered in comparison with the other formulae, such as the Neergaard-Wust formula and Robledo's Pfaffian formula. A new formula, which is free of the sign problem is also presented, which can be the most efficient computational method in numerical applications.

Primary author

Prof. MAKITO OI (Senshu University)


Prof. Noritaka Shimizu (CNS, University of Tokyo) Takahiro Mizusaki (INS, Senshu University)

Presentation materials

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