首页
登录
注册
标准对力模型的新迭代方法
A New Iterative Approach for the Exact Solution of the Standard Pairing Model
-
摘要: 建立了一种求解标准对力模型的新迭代方法.该方法基于标准对力模型的多项式方案,为球形和形变系统提供了方便的初始值预测.特别是对于大尺寸系统,该方法将求解k 对多项式的系统方程式简化为分步求解1 对多项式系统的迭代过程,并通过快速Newton-Raphson 以及Monte Carlo 采样算法逐步提供初始值预测.通过扩展,本算法还可用于解决Gaudin 型量子多体问题,例如考虑超过100 条轨道、50 对的大尺寸系统,以及超形变核、核裂变的研究中.Abstract: A new iterative approach for solving the standard pairing problem is established based on polynomial approach. It provides an efficient way to derive the particle-number conserved pairing wave functions for both spherical and deformed systems, especially for large-size systems. The method reduces the complexity of solving a system for k-pairs polynomial equations into a system for one-pair polynomial equation, which can be efficiently implemented by the Newton-Raphson algorithm with a Monte Carlo sampling procedure for providing the initial guesses step by step. The present algorithm can also be used to solve a large class of Gaudin type quantum many-body problems as a more than 100 orbitals and 50 pairs system such as super-heavy nuclei and nuclear fission.
-
-
计量
- 文章访问数: 96
- HTML全文浏览数: 82
- PDF下载数: 0
- 施引文献: 0
下载: