Entanglement in quantum theory is a peculiar concept to scientists. With this concept we are forced to re-consider the cluster property which means that one event is irrelevant to another event when they are fully far...Entanglement in quantum theory is a peculiar concept to scientists. With this concept we are forced to re-consider the cluster property which means that one event is irrelevant to another event when they are fully far away. In the recent works we showed that the quasi-degenerate states induce the violation of cluster property in antiferromagnets when the continuous symmetry breaks spontaneously. We expect that the violation of cluster property will be observed in other materials too, because the spontaneous symmetry breaking is found in many systems such as the high temperature superconductors and the superfluidity. In order to examine the cluster property for these materials, we studied a quantum nonlinear sigma model with U(1) symmetry in the previous work. There we showed that the model does have quasi-degenerate states. In this paper we study the quantum nonlinear sigma model with SU(2) symmetry. In our approach we first define the quantum system on the lattice and then adopt the representation where the kinetic term is diagonalized. Since we have no definition on the conjugate variable to the angle variable, we use the angular momentum operators instead for the kinetic term. In this representation we introduce the states with the fixed quantum numbers and carry out numerical calculations using quantum Monte Carlo methods and other methods. Through analytical and numerical studies, we conclude that the energy of the quasi-degenerate state is proportional to the squared total angular momentum as well as to the inverse of the lattice size.展开更多
[Objective] Using molecular biotechnology to clone the sus scrofa GPX2 gene. [Method] Using total RNA of sus scrofa duodenum as template, degenerated primer pairs were designed according to the homology alignment anal...[Objective] Using molecular biotechnology to clone the sus scrofa GPX2 gene. [Method] Using total RNA of sus scrofa duodenum as template, degenerated primer pairs were designed according to the homology alignment analysis of GPX2 gene of human, rat, mouse, dog and cattle. A sus scrofa GPX2 gene sequence of 330 bp was obtained by RT-PCR application method. Primes were designed respectively according to the known sequence, sus scrofa GPX2 gene was isolated and cloned by 3-RACE and 5-RACE method and analyzed the gene sequence. [Result] A mRNA sequence of 924 bp was successfully cloned and isolated in this research. This sequence contained complete 3＇end and had higher sequence homology with human,mouse,cattle and dog GPX2 gene, and there was codon called TGA which encoding Sec on the position of No. 114-116 gene. [Conclusion] Sequence alignment analysis showed that the cloned gene was sus scrofa GPX2 gene （ NCBI GenBank database, the sequence number was D098982）.展开更多
文摘Entanglement in quantum theory is a peculiar concept to scientists. With this concept we are forced to re-consider the cluster property which means that one event is irrelevant to another event when they are fully far away. In the recent works we showed that the quasi-degenerate states induce the violation of cluster property in antiferromagnets when the continuous symmetry breaks spontaneously. We expect that the violation of cluster property will be observed in other materials too, because the spontaneous symmetry breaking is found in many systems such as the high temperature superconductors and the superfluidity. In order to examine the cluster property for these materials, we studied a quantum nonlinear sigma model with U(1) symmetry in the previous work. There we showed that the model does have quasi-degenerate states. In this paper we study the quantum nonlinear sigma model with SU(2) symmetry. In our approach we first define the quantum system on the lattice and then adopt the representation where the kinetic term is diagonalized. Since we have no definition on the conjugate variable to the angle variable, we use the angular momentum operators instead for the kinetic term. In this representation we introduce the states with the fixed quantum numbers and carry out numerical calculations using quantum Monte Carlo methods and other methods. Through analytical and numerical studies, we conclude that the energy of the quasi-degenerate state is proportional to the squared total angular momentum as well as to the inverse of the lattice size.
文摘[Objective] Using molecular biotechnology to clone the sus scrofa GPX2 gene. [Method] Using total RNA of sus scrofa duodenum as template, degenerated primer pairs were designed according to the homology alignment analysis of GPX2 gene of human, rat, mouse, dog and cattle. A sus scrofa GPX2 gene sequence of 330 bp was obtained by RT-PCR application method. Primes were designed respectively according to the known sequence, sus scrofa GPX2 gene was isolated and cloned by 3-RACE and 5-RACE method and analyzed the gene sequence. [Result] A mRNA sequence of 924 bp was successfully cloned and isolated in this research. This sequence contained complete 3＇end and had higher sequence homology with human,mouse,cattle and dog GPX2 gene, and there was codon called TGA which encoding Sec on the position of No. 114-116 gene. [Conclusion] Sequence alignment analysis showed that the cloned gene was sus scrofa GPX2 gene （ NCBI GenBank database, the sequence number was D098982）.
