平均场和能量密度泛函方法中的Lipkin对称性恢复
Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods
摘要：
根据Lipkin在1960年提出的思想，平均场态能量的最小化等价于Peierls-Yoccoz质量的平均场态能量的最小化。有趣的是，在利普金投影能量中出现的是“非物理的”佩尔斯-约科兹质量，而不是真实质量。Peierls-Yoccoz质量可以很容易地从能量和重叠核中计算出来，这允许在能量密度形式主义中系统地（尽管是近似地）恢复平移对称性。类似的方法也可以用于所有其他破缺对称。
英文摘要：
Based on the 1960 idea of Lipkin, the minimization of energy of a symmetry-restored mean-field state is equivalent to the minimization of a corrected energy of a symmetry-broken state with the Peierls-Yoccoz mass. It is interesting to note that the "unphysical" Peierls-Yoccoz mass, and not the true mass, appears in the Lipkin projected energy. The Peierls-Yoccoz mass can be easily calculated from the energy and overlap kernels, which allows for a systematic, albeit approximate, restoration of translational symmetry within the energy-density formalism. Analogous methods can also be implemented for all other broken symmetries.
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