关于准粒子统计密度算子巨正则迹计算中的符号模糊
About the sign ambiguity in the evaluation of Grand Canonical traces for quasi-particle statistical density operators
摘要：
给出了一个简单而通用的计算准粒子统计密度算符巨正则迹的符号（即所谓的行列式平方根的符号模糊性）的方法。在有限温度下的Hartree-Fock-Bogoliubov近似中，由于迹线通常表示为行列式的平方根，因此在投影到好的量子数（角动量、宇称和粒子数）的巨正则配分函数的计算中出现了这种符号模糊性。与数值连续性方法进行了比较。
英文摘要：
A simple and general prescription for evaluating unambiguously the sign of the grand-canonical trace of quasi-particle statistical density operators (the so-called sign ambiguity in taking the square root of determinants) is given. Sign ambiguities of this kind appear in the evaluation of the grand-canonical partition function projected to good quantum numbers (angular momentum, parity and particle number) in the Hartree-Fock-Bogoliubov approximation at finite temperature, since traces are usually expressed as the square root of determinants. A comparison is made with the numerical continuity method.
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