Symmetry Restoration in Hartree-Fock-Bogoliubov Based Theories

被引:78
作者
Bertsch, G. F. [1 ,2 ]
Robledo, L. M. [3 ]
机构
[1] Univ Washington, Inst Nucl Theory, Seattle, WA 98915 USA
[2] Univ Washington, Dept Phys, Seattle, WA 98915 USA
[3] Univ Autonoma Madrid, Dept Fis Teor, E-28049 Madrid, Spain
基金
美国国家科学基金会;
关键词
GENERATOR-COORDINATE METHOD; MATRIX-ELEMENTS;
D O I
10.1103/PhysRevLett.108.042505
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a Pfaffian formula for projection and symmetry restoration for wave functions of the general Bogoliubov form, including quasiparticle excited states and linear combinations of them. This solves a long-standing problem in calculating states of good symmetry, arising from the sign ambiguity of the commonly used determinant formula. A simple example is given of projecting a good particle number and angular momentum from a Bogoliubov wave function in the Fock space of a single j-shell.
引用
收藏
页数:4
相关论文
共 14 条
[1]  
[Anonymous], 1973, Combinatorics and Renormalisation in Quantum Field Theory
[2]  
Avez B., ARXIV11092078
[3]   NONUNITARY BOGOLIUBOV TRANSFORMATIONS AND EXTENSION OF WICKS THEOREM [J].
BALIAN, R ;
BREZIN, E .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1969, 64 (01) :37-+
[4]  
Bertsch G. F., ARXIV11085479
[5]   Canonical form of transition matrix elements [J].
Donau, F .
PHYSICAL REVIEW C, 1998, 58 (02) :872-877
[6]   MICROSCOPIC APPROACH TO THE GENERATOR-COORDINATE METHOD WITH PAIRING CORRELATIONS AND DENSITY-DEPENDENT FORCES [J].
HAIDER, Q ;
GOGNY, D .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1992, 18 (06) :993-1022
[7]  
Lieb E. H., 1968, J. Comb. Theory, V5, P313
[8]   ON THE CALCULATION OF MATRIX-ELEMENTS OF OPERATORS BETWEEN SYMMETRY-PROJECTED BOGOLIUBOV STATES [J].
NEERGARD, K ;
WUST, E .
NUCLEAR PHYSICS A, 1983, 402 (02) :311-321
[9]  
Oi M., ARXIV11102340
[10]   GENERATOR COORDINATE METHOD APPLIED TO NUCLEI IN TRANSITION REGION [J].
ONISHI, N ;
YOSHIDA, S .
NUCLEAR PHYSICS, 1966, 80 (02) :367-&