Lipkin模型的密度矩阵泛函理论
Density Matrix Functional Theory for the Lipkin model
摘要：
本文半经验地构造了二能级Lipkin模型的密度矩阵泛函理论。这个理论，基于自然轨道和占领数，被证明是一个很好的描述系统的基态能量的两体相互作用和粒子数的变化。密度矩阵泛函理论在Lipkin模型中的应用表明，它对于原子核等具有形状相变的系统是一个很有价值的工具。讨论了单体观测量描述的改进以及对能量密度泛函理论的兴趣。
英文摘要：
A Density Matrix Functional theory is constructed semi-empirically for the two-level Lipkin model. This theory, based on natural orbitals and occupation numbers, is shown to provide a good description for the ground state energy of the system as the two-body interaction and particle number vary. The application of Density Matrix Functional theory to the Lipkin model illustrates that it could be a valuable tool for systems presenting a shape phase-transition such as nuclei. The improvement of one-body observables description as well as the interest for Energy Density Functional theory are discussed.
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