de Gosson Maurice A
Faculty of Mathematics, University of Vienna, NuHAG, 1090 Vienna, Austria.
Found Phys. 2013;43(4):440-457. doi: 10.1007/s10701-012-9636-x. Epub 2012 Feb 29.
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.
量子斑点是相空间中与量子力学不确定性原理相容且以辛群作为对称群的最小相空间单元。量子斑点与标准量子力学中的压缩相干态存在一一对应关系，量子斑点是压缩相干态的一种相空间图景。这使我们能够为量子力学中的相空间提出一种替代方案。为了从几何角度表示量子态，我们研究了量子斑点与费米定义的某类水平集之间的关系。
