Quantum blobs are the smallest phase space units of phase space compatible with the uncertainty principle of quantum mechanics and having the symplectic group as group of symmetries. Quantum blobs are in a bijective correspondence with the squeezed coherent states from standard quantum mechanics, of which they are a phase space picture. This allows us to propose a substitute for phase space in quantum mechanics. We study the relationship between quantum blobs with a certain class of level sets defined by Fermi for the purpose of representing geometrically quantum states.

中文翻译：

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量子斑点

量子斑点是相空间中最小的相空间单位，它符合量子力学的测不准原理，并以辛群为对称群。量子斑点与标准量子力学中的压缩相干态呈双射对应，它们是相空间图。这使我们能够提出量子力学中相空间的替代品。我们研究了量子 blob 与费米定义的某一类水平集之间的关系，目的是表示几何量子态。