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arXiv 1205.4002nucl-th
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原子核的含时耦合团簇方法

Time-dependent coupled-cluster method for atomic nuclei

D. A. Pigg, G. Hagen, H. Nam, T. Papenbrock

摘要:

我们在核物理框架下研究含时耦合团簇理论。基于Kvaal的双变分形式[S. Kvaal,arXiv:1201.5548],我们明确地证明了与哈密顿量交换的观测量在时间演化下是守恒的。我们探讨的作用下的能量和相似变换的哈密顿量的真实和虚的时间演化和后者的相似重整化群变换。He-4和O-16在小模型空间中的原理证明计算和Lipkin模型的计算说明了该方法的能力。

英文摘要:

We study time-dependent coupled-cluster theory in the framework of nuclear physics. Based on Kvaal's bi-variational formulation of this method [S. Kvaal, arXiv:1201.5548], we explicitly demonstrate that observables that commute with the Hamiltonian are conserved under time evolution. We explore the role of the energy and of the similarity-transformed Hamiltonian under real and imaginary time evolution and relate the latter to similarity renormalization group transformations. Proof-of-principle computations of He-4 and O-16 in small model spaces, and computations of the Lipkin model illustrate the capabilities of the method.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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