本征值问题是自然科学中基本运算之一,对于超大矩阵的对角化是当今许多科学问题的瓶颈.在应用原子核壳模型理论研究较重的原子核结构时,因为壳模型组态太大,通常的方法是基于各种物理考虑做某些组态截断,另一个思路是利用新的算法和飞速发展的计算机资源对这些大矩阵对角化或者近似对角化.总结了本课题组近年来在壳模型哈密顿量本征值近似方面研究的主要结果,包括最低本征值半经验公式及多种外推方法、本征值与对角元的相关性等.
参考文献
[1] | PRESS W H,TEUKOLSKY S A,VETTERLING W T,et al.Numerical recipes in C++:the art of scientific computing[M].Cambridge:Cambridge University Press,2005. |
[2] | CHEN J Q.Nucl Phys A,1997,626:686 |
[3] | ZHAO Y M,YOSHINAGA N,YAMAJI S,et al.Phys Rev C,2000,62:014304 |
[4] | FU G J,ZHAO Y M,PITTLE S,et al.Phys Rev C,2013,87:044310. |
[5] | HARA K,SUN Y.Int Jour Mod Phys E,1995,4:637. |
[6] | SHIMIZU N,UTSUNO Y,MIZUSAKI T,et al.Phys Rev C,2010,82:061305. |
[7] | ZHAO Y M,ARIMAA,YOSHINAGA N.Phys Rep,2004,400:1. |
[8] | WONG S S M.Nuclear Statistical Spectrocopy[M].New York:Oxford University Press,1986. |
[9] | VELAZQUEZ V,ZUKER A P.Phys Rev Lett,2002,88:072502. |
[10] | PAPENBROCK T,WEIDENMOLLER H A.Rev Mod Phys,2007,79:997. |
[11] | MON K K,FRENCH J B.Ann Phys,1975,95:90. |
[12] | ABRAMOWITZ M,STEGUN I A.Handbook of Mathematical Functions:With Formulas,Graphs,and Mathematical Tables[M].New York:Dover Publications,1964. |
[13] | RATCLIFF K F.Phys Rev C,1971,3:117. |
[14] | MARGETAN F J,KLAR A,VARY J P.Phys Rev C,1983,27:852. |
[15] | YOSHINAGA N,ARIMA A,ZHAO Y M.Phys Rev C,2006,73:017303. |
[16] | SHEN J J,ZHAO Y M,ARIMA A,et al.Phys Rev C,2008,77:054312. |
[17] | SHEN J J,ARIMA A,ZHAO Y M,et al.Phys Rev C,2008,78:044305. |
[18] | YOSHINAGA N,ARIMA A,SHEN J J,et al.Phys Rev C,2009,79:017301. |
[19] | FRENCH J B,WONG S S M.Phys Lett B,1970,33:449. |
[20] | BOHIGAS O,FLORES J.Phys Lett B,1971,34:261. |
[21] | BRODY T A,FLORES J,FRENCH J B.Rev Mod Phys,1981,53:385. |
[22] | ZELEVINSKY V,BROWN B A,FRAZIER N.Phys Rept,1996,276:85. |
[23] | SHEN J J,ZHAO Y M,ARIMA A.Phys Rev C,2010,82:014309. |
[24] | SHEN J J,ZHAO Y M,ARIMA A,et al.Phys Rev C,2011,83:044322. |
[25] | SHEN J J,ZHAO Y M,ARIMA A.Phys Rev C,2012,85:064325. |
[26] | SHEN J J,ZHAO Y M,Sci China Ser G:Phys Mech Astron,2009,52:1477. |
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