大规模核结构计算的新方法

IF 3.2 2区物理与天体物理 Q2 PHYSICS, NUCLEAR

Physical Review C Pub Date : 2001-01-22 DOI:10.1103/PhysRevC.63.061303

Jorge Dukelsky, S. Pittel

{"title":"大规模核结构计算的新方法","authors":"Jorge Dukelsky, S. Pittel","doi":"10.1103/PhysRevC.63.061303","DOIUrl":null,"url":null,"abstract":"A new approach to large-scale nuclear structure calculations, based on the Density Matrix Renormalization Group (DMRG), is described. The method is tested in the context of a problem involving many identical nucleons constrained to move in a single large-j shell and interacting via a pairing plus quadrupole interaction. In cases in which exact diagonalization of the hamiltonian is possible, the method is able to reproduce the exact results for the ground state energy and the energies of low-lying excited states with extreme precision. Results are also presented for a model problem in which exact solution is not feasible.","PeriodicalId":48700,"journal":{"name":"Physical Review C","volume":"32 1","pages":"061303"},"PeriodicalIF":3.2000,"publicationDate":"2001-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New approach to large-scale nuclear structure calculations\",\"authors\":\"Jorge Dukelsky, S. Pittel\",\"doi\":\"10.1103/PhysRevC.63.061303\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new approach to large-scale nuclear structure calculations, based on the Density Matrix Renormalization Group (DMRG), is described. The method is tested in the context of a problem involving many identical nucleons constrained to move in a single large-j shell and interacting via a pairing plus quadrupole interaction. In cases in which exact diagonalization of the hamiltonian is possible, the method is able to reproduce the exact results for the ground state energy and the energies of low-lying excited states with extreme precision. Results are also presented for a model problem in which exact solution is not feasible.\",\"PeriodicalId\":48700,\"journal\":{\"name\":\"Physical Review C\",\"volume\":\"32 1\",\"pages\":\"061303\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2001-01-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review C\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/PhysRevC.63.061303\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/PhysRevC.63.061303","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}

引用次数: 1

摘要

描述了一种基于密度矩阵重整化群(DMRG)的大规模核结构计算新方法。该方法在一个问题的背景下进行了测试，该问题涉及许多相同的核子被限制在单个大j壳中移动，并通过配对加四极相互作用相互作用。在可能精确对角化哈密顿量的情况下，该方法能够以极高的精度再现基态能量和低处激发态能量的精确结果。对于一个不能精确解的模型问题，也给出了结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New approach to large-scale nuclear structure calculations

A new approach to large-scale nuclear structure calculations, based on the Density Matrix Renormalization Group (DMRG), is described. The method is tested in the context of a problem involving many identical nucleons constrained to move in a single large-j shell and interacting via a pairing plus quadrupole interaction. In cases in which exact diagonalization of the hamiltonian is possible, the method is able to reproduce the exact results for the ground state energy and the energies of low-lying excited states with extreme precision. Results are also presented for a model problem in which exact solution is not feasible.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Physical Review C PHYSICS, NUCLEAR-

CiteScore

5.80

自引率

35.50%

发文量

863

期刊介绍： Physical Review C (PRC) is a leading journal in theoretical and experimental nuclear physics, publishing more than two-thirds of the research literature in the field. PRC covers experimental and theoretical results in all aspects of nuclear physics, including: Nucleon-nucleon interaction, few-body systems Nuclear structure Nuclear reactions Relativistic nuclear collisions Hadronic physics and QCD Electroweak interaction, symmetries Nuclear astrophysics