Speaker
Prof.
MAKITO OI
(Senshu University)
Description
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.
Author
Prof.
MAKITO OI
(Senshu University)
Co-authors
Prof.
Noritaka Shimizu
(CNS, University of Tokyo)
Takahiro Mizusaki
(INS, Senshu University)