能量密度泛函方法中对称性的破缺和恢复
Breaking and restoring symmetries within the nuclear energy density functional method
摘要：
本文综述了在能量密度泛函方法框架内对称性破缺和恢复的概念。我们专注于波函数和能量泛函为基础的方法之间的关键区别。特别是，我们指出的困难，制定恢复对称性的能量功能框架内。最近处理的问题与粒子数恢复作为一个基线，目前的讨论。到达角动量恢复，我们确定了一个确切的数学性质的能量密度$E^{LM}(\vec{R})$，可用于约束能量密度功能内核。因此，我们建议可能的路线走向更好地制定对称性的能量密度功能方法。
英文摘要：
We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to difficulties to formulate the restoration of symmetries within the energy functional framework. The problems tackled recently in connection with particle-number restoration serve as a baseline to the present discussion. Reaching out to angular-momentum restoration, we identify an exact mathematical property of the energy density $E^{LM}(\vec{R})$ that could be used to constrain energy density functional kernels. Consequently, we suggest possible routes towards a better formulation of symmetry restorations within energy density functional methods.
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