关联B-spline计算氦原子能级、极化率和Bethe-logarithm
【摘要】：基于B-spline基组,发展了一套可用于少电子原子体系谱性质精密计算的关联基组~1。因这类基组继承了传统B-spline基所具备的特点,又能很好的描述电子之间的渐进行为,我们称之为关联B-spline基。应用这种基组,我们已对两电子原子He的能级和极化率性质做过计算。关联B-spline基组方法给出氦原子基态能量为E=-2.9037243771(2) a.u.,这相比较传统B-spline组态相互作用方法结果提高了7位有效数字。对于低能态的极化率性质,关联B-spline方法给出了与Hylleraas方法同等精度的结果,两种基组在理论上得到了很好的相互验证。近期,应用关联B-spline方法计算了He原子体系QED效应中领头项Bethe-Logarithm。下列表格中列出了部分结果,同时也与其他理论结果进行了比较(见下表)。
|
|
|
|
| 1 |
Yang LU;Junhai YONG;Kanle SHI;Hejin GU;Ping ZHENG;Jean-Claude PAUL;;B-spline surface fitting to mesh vertices[J];Science China(Information Sciences);2017年07期 |
| 2 |
Yang LU;Kanle SHI;Junhai YONG;Hejin GU;Haichuan SONG;;A B-spline curve extension algorithm[J];Science China(Information Sciences);2016年03期 |
| 3 |
薛翔;周来水;;Compact Car-Body Surface Design with T-spline Surface[J];Transactions of Nanjing University of Aeronautics and Astronautics;2014年06期 |
| 4 |
SONG Huan-huan;TANG Yue-hong;LI Yu-juan;;Knot Insertion Algorithms for ECT B-spline Curves[J];Computer Aided Drafting,Design and Manufacturing;2013年02期 |
| 5 |
MU Guowang;ZANG Ting;DAI Shijie;;G~0 and G~1 connection between two adjacent B-spline surfaces[J];Computer Aided Drafting,Design and Manufacturing;2013年01期 |
| 6 |
;Non-uniform B-spline curves with multiple shape parameters[J];Journal of Zhejiang University-Science C(Computers & Electronics);2011年10期 |
| 7 |
;Top-10 downloaded articles of CHINESE JOURNAL OF AERONAUTICS in 2009[J];Chinese Journal of Aeronautics;2010年06期 |
| 8 |
;The structure of uniform B-spline curves with parameters[J];Progress in Natural Science;2008年03期 |
| 9 |
;Fingerprint Representation Methods Based on B-Spline Functions[J];Wuhan University Journal of Natural Sciences;2004年02期 |
| 10 |
户良民,吴立新;关于第三类半对数spline插值函数的误差估计[J];河北建筑科技学院学报;2004年04期 |
| 11 |
侯朝胜,李婧,龙泉;Cubic Spline Solutions of Nonlinear Bending and Buckling of Circular Plates with Arbitrarily Variable Thickness[J];Transactions of Tianjin University;2003年04期 |
| 12 |
;Surface Construction System of the Airfoil Blade Based on B-spline[J];International Journal of Plant Engineering and Management;2000年04期 |
| 13 |
方逵,谭建荣,朱国庆;C~2-(C~3-) Continuous Interpolation Spline Curve and Surface[J];Journal of Computer Science and Technology;1998年03期 |
| 14 |
;Geometric Calibration of LensUsing B-Spline Surface Fitting[J];Wuhan University Journal of Natural Sciences;1998年04期 |
| 15 |
齐东旭
,李华山;Many-knot spline technique for approximation of data[J];Science in China(Series E:Technological Sciences);1999年04期 |
| 16 |
;Fairing of Parametric Cubic B-spline Curves and Bicubic B-spline Surfaces[J];Computer Aided Drafting,Design and Manufacturing;1997年02期 |
| 17 |
;Spline Optimum Regression Method and Its Application[J];生物数学学报;1997年S1期 |
| 18 |
;Analysis of Stability and Large Deflection Buckle of Rolled Strip by Third Power B-Spline Function Method[J];Journal of Iron and Steel Research(International);1997年02期 |
| 19 |
;A note on spline wavelets[J];Chinese Science Bulletin;1997年15期 |
| 20 |
秦开怀,范刚,孙才;Extrapolating Acceleration Algorithms for Finding B-Spline Intersections Using Recursive Subdivision Techniques[J];Journal of Computer Science and Technology;1994年01期 |
|
手机打开
论文排版
快捷付款方式
订购知网充值卡
订购热线
帮助中心