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arXiv quant-ph/0009033quant-ph
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自旋系统的不确定性

Uncertainty for spin systems

Nuno Barros e Sa

摘要:

本文提出了自旋系统量子力学不确定度D的一个修正定义,它在SU(2)作用下是不变的。它的值域在SU(2)的任何不可约表示j内都是h^2j<D<h^2j(j+1),它在希尔伯特空间中的平均值用Fubini-Study度量计算出来是mean(D)=h^2j(j+1/2)。自旋系统中最常用的相干态集与最小D不确定态集相吻合。

英文摘要:

A modified definition of quantum mechanical uncertainty D for spin systems, which is invariant under the action of SU(2), is suggested. Its range is shown to be h^2j<D<h^2j(j+1) within any irreducible representation j of SU(2) and its mean value in Hilbert space computed using the Fubini-Study metric is determined to be mean(D)=h^2j(j+1/2). The most used sets of coherent states in spin systems coincide with the set of minimum D uncertainty states.

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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