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Grassmann integral and Balian-Brezin decomposition in Hartree-Fock-Bogoliubov matrix elements

文献类型：期刊论文

作者Mizusaki, Takahiro1; Oi, Makito1; Chen, Fang-Qi2; Sun, Yang2,3
刊名PHYSICS LETTERS B
出版日期2013-08-09
卷号725页码:175-179
ISSN号0370-2693
DOI10.1016/j.physletb.2013.07.005
文献子类Article
英文摘要We present a new formula to calculate matrix elements of a general unitary operator with respect to Hartree-Fock-Bogoliubov states allowing multiple quasi-particle excitations. The Balian-Brezin decomposition of the unitary operator [R. Balian, E. Brezin, Il Nuovo Cimento B 64 (1969) 37] is employed in the derivation. We found that this decomposition is extremely suitable for an application of Fermion coherent state and Grassmann integrals in the quasi-particle basis. The resultant formula is compactly expressed in terms of the Pfaffian, and shows the similar bipartite structure to the formula that we have previously derived in the bare-particles basis [T. Mizusaki, M. Oi, Phys. Lett. B 715 (2012) 219]. (C) 2013 Elsevier B.V. All rights reserved.
WOS关键词PROJECTION ; STATES
资助项目973 Program of China[2013CB834401]
WOS研究方向Astronomy & Astrophysics ; Physics
语种英语
WOS记录号WOS:000322606800024
出版者ELSEVIER SCIENCE BV
源URL[http://119.78.100.186/handle/113462/48491]  
专题中国科学院近代物理研究所
通讯作者Mizusaki, Takahiro
作者单位1.Senshu Univ, Inst Nat Sci, Chiyoda Ku, Tokyo 1018425, Japan
2.Shanghai Jiao Tong Univ, Dept Phys & Astron, Shanghai 200240, Peoples R China
3.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式
GB/T 7714		 Mizusaki, Takahiro,Oi, Makito,Chen, Fang-Qi,et al. Grassmann integral and Balian-Brezin decomposition in Hartree-Fock-Bogoliubov matrix elements[J]. PHYSICS LETTERS B,2013,725:175-179.
APA Mizusaki, Takahiro,Oi, Makito,Chen, Fang-Qi,&Sun, Yang.(2013).Grassmann integral and Balian-Brezin decomposition in Hartree-Fock-Bogoliubov matrix elements.PHYSICS LETTERS B,725,175-179.
MLA Mizusaki, Takahiro,et al."Grassmann integral and Balian-Brezin decomposition in Hartree-Fock-Bogoliubov matrix elements".PHYSICS LETTERS B 725(2013):175-179.

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来源：近代物理研究所

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