While experimenting with the more and more popular neodymium magnetic ball sets, the author developed a method, by which models of atomic nuclei can be created. These macroscopic models visually represent several feat...While experimenting with the more and more popular neodymium magnetic ball sets, the author developed a method, by which models of atomic nuclei can be created. These macroscopic models visually represent several features of nuclei and nuclear phenomena, which can be a useful mean during the teaching of nuclear physics. Even though such macroscopic models are unable to depict the true quantum physical nature of nuclear processes, they can be much more useful didactically than the previously used disordered sets of balls, to represent the atomic nucleus.展开更多
采用介质层壳弯曲的唯象方法，在规整三维空间中给出了能量曲率方程及物体间的能量引力形式表述，其引力方程的二个条件解分别与 Newton 引力理论及 Einstein 引力理论的有关结果相近．讨论了目前分维微积分在函数方面的局限性，给出了...采用介质层壳弯曲的唯象方法，在规整三维空间中给出了能量曲率方程及物体间的能量引力形式表述，其引力方程的二个条件解分别与 Newton 引力理论及 Einstein 引力理论的有关结果相近．讨论了目前分维微积分在函数方面的局限性，给出了相似扩展方程，随后通过讨论天体运行轨道的基线扩展特征，给出了天体运行的离散轨道方程，并以太阳系行星及部分卫星为例，给出了这些天体运行离散轨道方程的具体表述形式．展开更多
Using formulae for one- and two-electron integrals of Coulomb interaction potential fk （r） = r^-k with non-integer indices k established by one of the authors with the help of complete orthonormal sets of ψ^α-expo...Using formulae for one- and two-electron integrals of Coulomb interaction potential fk （r） = r^-k with non-integer indices k established by one of the authors with the help of complete orthonormal sets of ψ^α-exponential-type orbitals （α = 1, 0,-1,-2,…）, we perform the calculations for isoelectronic series of the He atom containing nuclear charges from 2 to 10, where k = 1 - μ （-1 〈 μ 〈 0）. For this purpose we have used the double-zeta approximation, the configuration interaction and coupled-cluster methods employing the integer-n Slater-type orbitals as basis sets. It is demonstrated that the results of calculations obtained are better than the numerical Hartree-Fock values.展开更多
讨论了具有辛群对称性的一类价激发n电子波函数 ψ_(a,s_1,s_2)=N(multiply from t=s_1 to s_1+s_2-1)(a_1+(a_t))(multiply from k=s_1+s_2 to s_1+s_2+m-1)G+(ζ,k,V_(s+1))|0>的性质,它们对闭壳层和开壳层体系均适用.用此类函数...讨论了具有辛群对称性的一类价激发n电子波函数 ψ_(a,s_1,s_2)=N(multiply from t=s_1 to s_1+s_2-1)(a_1+(a_t))(multiply from k=s_1+s_2 to s_1+s_2+m-1)G+(ζ,k,V_(s+1))|0>的性质,它们对闭壳层和开壳层体系均适用.用此类函数计算了Li_2,LiH_2^-和CH_3^+,结果表明这类函数能较好地描述电子相关作用,并且变分得到的轨道都是自然轨道。展开更多
文摘While experimenting with the more and more popular neodymium magnetic ball sets, the author developed a method, by which models of atomic nuclei can be created. These macroscopic models visually represent several features of nuclei and nuclear phenomena, which can be a useful mean during the teaching of nuclear physics. Even though such macroscopic models are unable to depict the true quantum physical nature of nuclear processes, they can be much more useful didactically than the previously used disordered sets of balls, to represent the atomic nucleus.
文摘采用介质层壳弯曲的唯象方法，在规整三维空间中给出了能量曲率方程及物体间的能量引力形式表述，其引力方程的二个条件解分别与 Newton 引力理论及 Einstein 引力理论的有关结果相近．讨论了目前分维微积分在函数方面的局限性，给出了相似扩展方程，随后通过讨论天体运行轨道的基线扩展特征，给出了天体运行的离散轨道方程，并以太阳系行星及部分卫星为例，给出了这些天体运行离散轨道方程的具体表述形式．
文摘Using formulae for one- and two-electron integrals of Coulomb interaction potential fk （r） = r^-k with non-integer indices k established by one of the authors with the help of complete orthonormal sets of ψ^α-exponential-type orbitals （α = 1, 0,-1,-2,…）, we perform the calculations for isoelectronic series of the He atom containing nuclear charges from 2 to 10, where k = 1 - μ （-1 〈 μ 〈 0）. For this purpose we have used the double-zeta approximation, the configuration interaction and coupled-cluster methods employing the integer-n Slater-type orbitals as basis sets. It is demonstrated that the results of calculations obtained are better than the numerical Hartree-Fock values.
文摘讨论了具有辛群对称性的一类价激发n电子波函数 ψ_(a,s_1,s_2)=N(multiply from t=s_1 to s_1+s_2-1)(a_1+(a_t))(multiply from k=s_1+s_2 to s_1+s_2+m-1)G+(ζ,k,V_(s+1))|0>的性质,它们对闭壳层和开壳层体系均适用.用此类函数计算了Li_2,LiH_2^-和CH_3^+,结果表明这类函数能较好地描述电子相关作用,并且变分得到的轨道都是自然轨道。
