Magnetic moments of odd-A aluminum isotopes in covariant density functional theory

The ground-state properties, especially the magnetic moments, of odd-A aluminum isotopes have been studied and well reproduced in covariant density functional theory after considering the rotational coupling. The present calculations support the rotational structure in the ground state of odd-A aluminum isotopes, i.e. the ground state 5/2~+ is built on the intrinsic state 5/2[202]. In addition, the contribution from the time-odd fields is also discussed.     

Characterizing Specific Riemannian Manifolds by Differential Equations

Some characterizations of certain rank-one symmetric Riemannian manifolds by the existence of nontrivial solutions to certain partial differential equations on Riemannian manifolds are surveyed.     

在洛伦兹变换下磁单极的电磁规律

从磁库仑定律出发，用洛伦兹变换导出磁单极的电磁场及其散度，旋度公式和磁单极在电磁场中的受力公式；给出它们的相对论协变形式；最后对讨论推广的麦克斯韦方程组。     

多重C~*-动力系统在Hilbert C~*-模上的膨胀

研究了多重C~*-动力系统在Hilbert C~*-模上表示的膨胀.设(A,α)是一个多重C~*-动力系统,(π,T,E)是(A,α)的行压缩协变表示,证明了存在(π,T,E)的等距膨胀(ρ,V,F).     

$\sigma$-$C^$-代数上的完全正映射\\[2mm]和 Stinespring 型扩张定理

研究了σ-C-代数上的完全正映射,获得了共变形式的Stinespring型扩张定理等 一系列结果.所得结果推广和改进了某些已有的结果.     

Covariant Prolongation Structure of Konno-Asai-Kakuhata Equation

Based upon the covariant prolongation structures theory, we construct the sl（2, R）×R（p） prolongation structure for Konno-Asai-Kakuhata equation. By taking two and one-dimensional prolongation spaces, we obtain the inverse scattering equations given by Konno et al. and the corresponding Riccati equation. The Baecklund transformations are also presented.     

Higher covariant derivatives

We obtain a composition formula for the higher covariant derivatives on a vector bundle over a manifold. The formula generalizes the classical Leibniz product rule for the derivative. We also obtain, as a corollary, a generalization of the author’s theorem about the double exponential map to the case of multiple maps.     

Center-of-mass correction and rotational correction in covariant density functional theory

Center-of-mass(c.m.) correction and rotational correction in even-even Ge isotopes are systematically investigated within the triaxially deformed relativistic Hartree-Bogoliubov model using the PC-PK1 force. The shell effect and deformation effect on the microscopic c.m. correction and rotational correction are discussed, and the importance of both corrections on reproducing the binding energy is demonstrated.