利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。

An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.

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在量子统计中，对统计系综引入了密度算符，力学量的平均值可以利用密度算符求出。

In the quantum statistical theory, the density operator is introduced in the statistical system. The expectation value of an obeservable can be obtained by the use of the density operator.

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