在量子力学中，有时候升算符称为创生算符(creation operator)，而降算符称为湮灭算符(annihilation operator)。阶梯算符在量子力学中的着名应用是出现在量子谐振子以及角动量的形式中。
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玻色湮灭算符 boson annihilation operator
More, we generalize supersymmetric harmonic oscillator space. In this space, we construct two kinds independent phase operators by improving supersymmetric annihilation operator and supersymmetric creation operator, and then obtain their eigenstates.
我们进一步将它推广到用超对称谐振子的产生算符和湮灭算符来构造适用于超对称谐振子的双摸相位空间里的二类独立的相位算符并相应地求出了其归一化的本征态。
参考来源 - 宏观极限下的量子动力学模型的退相干·2,447,543篇论文数据，部分数据来源于NoteExpress
通过不变量算子的产生和湮灭算符，得到波函数和几率密度。
The wave function and probability density are obtained by the creation and annihilation operators of the invariant operator.
因此，单模光场与此介质相互作用的哈密顿量正比于光场的湮灭算符与产生算符和的四次方。
Therefore interaction Hamitonian of the single mode light field with the medium is proportional to the fourth power of the annihilation operator plus creation operator.
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