玻色子亲态比系数的公式(Ⅰ)——三玻色子亲态比系数的显示式

本文推导出三个全同玻色子的亲态比系数的显示式,这些公式在相互作用玻色子模型中用玻色子有效相互作用计算核谱时很有用.     

One-body and Two-body Fractional Parentage Coefficients for Spinor Bose-Einstein Condensation

A very effective tool, namely, the analytical expression of the fractional parentage coefficients (FPC), is introduced in this paper to deal with the total spin states of N-body spinor bosonic systems, where N is supposed to be large and the spin of each boson is one. In particular, the analytical forms of the one-body and two-body FPC for the total spin states with {N} and {N−1,1} permutation symmetries have been derived. These coefficients facilitate greatly the calculation of related matrix elements, and they can be used even in the case of N→∞. They appear as a powerful tool for the establishment of an improved theory of spinor Bose-Einstein condensation, where the eigenstates have the total spin S and its Z-component being both conserved.     

母配分系数与旋量玻色-爱因斯坦凝聚

研究了由自旋为1的玻色子组成的N-体系统的总自旋态.导出了具有{N}和{N-1,1}对称性的总自旋态的母配分系数.这些系数使有关矩阵元的计算大为方便.因而它们将有助于建立一个关于旋量玻色爱因斯坦凝聚的改进了的理论,其中总自旋S及它的Z-分量Sz均得以守恒.     

Single particle SU(3) parentage coefficients

The single particle SU(3) parentage coefficients are calculated for the case of leading SU(3) representation in the highest orbital symmetry partition, using the method suggested by Hecht. Tabulations are given for all possible cases of identical nucleons in η=3 and η=4 shells.     

WAVEFUNCTIONS OF L-S COUPLING FERMION SYSTEM (Ⅱ):DOUBLE■-l

1991MRSubjectionClassification81R05,20C351IntroductionIiiapreviouspaper['].wit11avediscussedhowtoconstructthewavefllucti()llsofL-S(\011piing,single-lferlllionsystelll.Alldthecoefficientsoffi.actiollalparentage(CFP)withfixs(1seniorityharebeedcalclllatedbyarecurrentformula.Practically,withthe11alpoftileoperatorsofferrxlionpairsthegeneralwavefunctionsofmanyfermionswithsixlgle-lcouldbeobtainedfi.omthewavefullctionswithoutfermionpairs.Asaresult,therecurrentforlllulaofdeterrxliningCFPissimplif…     

空间群O_h~7O~4T~2母分系数的计算

在群链G G_1 G_2中,把两个子群的IR(不可约表示)基相乘,然后把乘积基耦合成IR基,耦合系数我们称之为母分系数。本文把陈金全创立的本征函数法用于计算空间群的群链O_h~7 O~4 T~2的母分系数,计算的结果显示母分系数是满足正交关系,同时也说明此方法是适用的。     

Parentage determination of an isolated Yangtze finless porpoise population Neophocaena phocaenoides asiaeorientalis in the Yangtze Tian-e-Zhou Baiji National Natural Reserve based on molecular data

Reproductive behaviors are poorly known for the Yangtze finless porpoise Neophocaena phocaenoides asiaeorientalis. In this study, the parentage of an isolated Yangtze finless porpoise population inhabiting the Yangtze Tian-e-Zhou Baiji National Natural Reserve is determined by analysis of microsatellite loci and mitochondrial DNA (mtDNA) control region sequences, and the porpoise's reproductive behaviors are studied. Overall 4 full parentage assignments and additional 3 single parentage assignments were determined for the population of 23 individuals. The analysis shows that their estimated reproductive cycle is shorter than that reported previously and there probably exists an overlapping between gestation and lactation period. The study also shows that the female does not show fidelity to a particular male for breeding and vice versa, the oldest males did not monopolize mating and the dominance rank could not be so strict for the porpoise society. Moreover, the porpoise's mating pattern and relatedness among candidate parents are discussed here. These results provide important information for making guidelines of management and conservation for this protected population.     

O_h~8(?)O~4T~1结构空间群母分系数的计算

利用本征函数法计算 结构空间群的母分系数.     

两个小孩时随机男子的排父率的计算

在许多基因检测案例中,要排除父权的更可能是与小孩无任何血缘关系的男性。根据Mendel遗传定律,一个男子被排除父权当且仅当他在某个基因座上与Mendel遗传定律有冲突。本文给出了排除随机男子是两个小孩父亲的概率的简洁且通用的计算公式,结合两组汉族地区数据,计算出随机男子的排父率,数值结果表明:排除一个随机男子父权的机会是非常大的。     

U（N）SP（N）O（3）的分支律

利用群的直乘分解公式，考虑Ｕ（Ｎ）群的［２ａ１ｂ］表示按群链Ｕ（Ｎ）ＳＰ（Ｎ）Ｏ（３）的约化规则，给出了相应的比较简单的分支律递推公式．该公式在用计算机计算分支律时，不受秩和表示维数的限制．为求解这类问题的分支律提供了一种比较简单的算法．在简化同位旋１／２的单ｊ费米子体系的母分系数计算中具有十分重要的意义．用同样的方法也可以求出群链Ｕ（Ｎ）Ｏ（Ｎ）Ｏ（３）的分支律．