An application of a quantizer–dequantizer method as a unifying description for representations of states in quantum mechanics is considered. Well-known quasi-distributions and tomograms are rewritten in terms of the dequantizer and quantizer operators. Using this description of the tomographic probability function and its symbol, we construct the invertible integral transforms between the tomogram and the quasi-probability distributions such as Wigner, Kirkwood–Rihaczek, Choi–Williams, P- and Q-functions, and others.

中文翻译：

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基于量化器-反量化器算子形式的层析图和准概率函数之间的积分变换

考虑了量化器-反量化器方法作为量子力学中状态表示的统一描述的应用。众所周知的准分布和断层图是根据反量化器和量化器算子重写的。使用对断层概率函数及其符号的这种描述，我们构建了断层图像和准概率分布（如 Wigner、Kirkwood-Rihaczek、Choi-Williams、P 和 Q 函数等）之间的可逆积分变换。