In this paper,not only various characterizations of central element of matrix ring aregiven,but also the index of central element of matrix ring is decided.Finally,an addition-al discussion on those problems is provid...In this paper,not only various characterizations of central element of matrix ring aregiven,but also the index of central element of matrix ring is decided.Finally,an addition-al discussion on those problems is provided too.1展开更多
We treat the Dirac operator on the Fuzzy sphere with the help of the generalized coherent state. It is shown that the derivatives can be constructed by Moyal product with symbol of the operator. We obtain the eigenval...We treat the Dirac operator on the Fuzzy sphere with the help of the generalized coherent state. It is shown that the derivatives can be constructed by Moyal product with symbol of the operator. We obtain the eigenvalue of the free fermion Dirac operator as same as the result by [Hajime Aoki, Satoshi Iso, and Kelichi Nagao, Phys. Rev.D67 (2003) 065018]. Meanwhile, we also give the eigenvalue of Dirac operator with U(1) Dirac monopole background.展开更多
基金National Natural Science Foundation of China(Grant No.60775038)Ningbo Natural Science Foundation of China(Grant No.2009A610078)K.C.Wang Magna Fund in Ningbo University
文摘In this paper,not only various characterizations of central element of matrix ring aregiven,but also the index of central element of matrix ring is decided.Finally,an addition-al discussion on those problems is provided too.1
文摘We treat the Dirac operator on the Fuzzy sphere with the help of the generalized coherent state. It is shown that the derivatives can be constructed by Moyal product with symbol of the operator. We obtain the eigenvalue of the free fermion Dirac operator as same as the result by [Hajime Aoki, Satoshi Iso, and Kelichi Nagao, Phys. Rev.D67 (2003) 065018]. Meanwhile, we also give the eigenvalue of Dirac operator with U(1) Dirac monopole background.
