一维谐振子系综密度矩阵的计算

Calculation of Density Matrix of One-dimensional Harmonic Oscillator Ensemble

在能量表象和坐标表象中,分别计算了一维谐振子综的密度矩阵,并得到了在温度T时的平均密度分布,最后讨论了高温极限(T→∞)和低温极限(T→0).

In energy presentation and coordinate presentation, one-dimensional harmonic oscillator ensemble is calculated ,respectively, and obtained the distribution of mean density at the temperature T. At last, the limits of high temperature (T→∞) and low temperature (T→0) is discussed.