Expectation values of single electron and interelectronic geometric quantities such as <γ>,<γ_(12)> ,<γ_(<)> , <γ_(>)>,<cosθ_(12)> and <θ_(12)> are calculated for doubly...Expectation values of single electron and interelectronic geometric quantities such as <γ>,<γ_(12)> ,<γ_(<)> , <γ_(>)>,<cosθ_(12)> and <θ_(12)> are calculated for doubly excited 2pnp ^(1)P^(e)(3 ≤ n ≤ 5), 2pnp ^(3)P^(e)(2 ≤ n ≤ 5)and 2pnd ^(1,3)D°(3 ≤ n ≤ 5) states of helium using Hylleraas-B-spline basis set. The energy levels converge to at least 10 significant digits in our calculations.The extrapolated values of geometric quantities except for <θ_(12)> reach 10 significant digits as well;<θ_(12)> reaches at least 7 significant digits using a multipole expansion approach. Our results provide a precise reference for future research.展开更多
文摘构建多模式交通系统的双动态演化模型,模型包括逐日动态演化和日内动态演化,逐日动态演化在1 d的维度上不断更新用户的多模式感知出行成本;日内动态演化依据多模式感知出行成本,采用Logit模型划分模式,并通过宏观基本图(Macroscopic Fundamental Diagram,MFD)理论计算区域内各模式的平均行驶车速和出行时长。探究共享汽车新型交通模式和区域换乘对出行者选择行为和交通系统演化均衡的影响。算例结果表明:相比长途出行,出行者在短途出行中更愿意使用共享汽车;稳态系统中,共享汽车出行将代替28.09%的私家车出行和8.52%的公共汽车出行;共享汽车出行增加了交通系统的总出行成本(1.07%)和总旅行时间(16.53%);区域换乘是重要的出行模式,降低了交通系统的总出行成本、总旅行时间和小汽车的拥有量。
基金Project supported by the National Natural Science Foundation of China (Grant No. 12074295)。
文摘Expectation values of single electron and interelectronic geometric quantities such as <γ>,<γ_(12)> ,<γ_(<)> , <γ_(>)>,<cosθ_(12)> and <θ_(12)> are calculated for doubly excited 2pnp ^(1)P^(e)(3 ≤ n ≤ 5), 2pnp ^(3)P^(e)(2 ≤ n ≤ 5)and 2pnd ^(1,3)D°(3 ≤ n ≤ 5) states of helium using Hylleraas-B-spline basis set. The energy levels converge to at least 10 significant digits in our calculations.The extrapolated values of geometric quantities except for <θ_(12)> reach 10 significant digits as well;<θ_(12)> reaches at least 7 significant digits using a multipole expansion approach. Our results provide a precise reference for future research.
