Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série IPN-THEO
Domaines nucl-th
Date Mercredi 6 Juin 2018
Heure 11:30
Institut IPN
Salle Bâtiment 100, Salle A015
Nom de l'orateur Mizusaki
Prenom de l'orateur Takahiro
Addresse email de l'orateur
Institution de l'orateur Senshu University, Japan
Titre Pfaffian, Onishi formula and Wick's theorem
Résumé Since the pioneering work of Robledo [1], the Pfaffian has been extensively studied in nuclear physics. With the use of the Grassmann integrals, his work gives an excellent answer to the sign-problem in the overlap between HFB wave functions (Onishi formula [2] proposed in half a century ago). After Robledo's work, I have also studied some extensions [3] and applications. Here I will talk about the following topics: \begin{enumerate} \item Basics of Pfaffian and matrix elements of quantum many-body system \item Pfaffian and sign-problem of Onishi formula \begin{itemize} \item Pfaffian formula for overlap of HFB wave functions \item Origin of the sign-problem and liked cluster theorem \end{itemize} \item Pfaffian and Wick's theorem \end{enumerate} I will show some examples of Pfaffian in other fields of quantum many-body physics.\\ \newline [1] L.M. Robledo, Phys. Rev. C 79 (2009), 021302(R).\newline [2] N. Onishi, S. Yoshida, Nucl. Phys. 80 (1966) 367.\newline [3] M. Oi, T. Mizusaki, Phys. Lett. B 707 (2012) 305, T. Mizusaki, M. Oi, Phys. Lett. B 715 (2012) 219,T. Mizusaki, M. Oi, F. Chen, Y. Sun, Phys. Lett. B 725 (2013) 175, T.Mizusaki, M.Oi, N.Shimizu, Phys. Lett. B779 (2018) 237.
Numéro de preprint arXiv
Commentaires $ $
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