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arXiv quant-ph/9810085quant-ph
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量子态之间的能量敏感和“类经典”距离

Energy-Sensitive and "Classical-like" Distances Between Quantum States

V. V. Dodonov, O. V. Man'ko, V. I. Man'ko, A. Wuensche

摘要:

我们引入了“极化”距离的概念,它区分了具有不同能量的正交态。我们还给出了新的不等式已知的相邻状态之间的希尔伯特-施密特距离,并表示这个距离的准概率分布和正常有序的时刻。此外,我们讨论了最近提出的"类经典“的量子力学制定的框架内的距离问题,基于辛层析计划。考虑了福克、相干、薛定谔猫、压缩、相位和热态的例子。

英文摘要:

We introduce the concept of the ``polarized'' distance, which distinguishes the orthogonal states with different energies. We also give new inequalities for the known Hilbert-Schmidt distance between neighbouring states and express this distance in terms of the quasiprobability distributions and the normally ordered moments. Besides, we discuss the distance problem in the framework of the recently proposed ``classical-like'' formulation of quantum mechanics, based on the symplectic tomography scheme. The examples of the Fock, coherent, ``Schroedinger cats,'' squeezed, phase, and thermal states are considered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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