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arXiv quant-ph/0004060quant-ph
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将自旋的Wigner核收缩为粒子的Wigner核

Contracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle

Jean-Pierre Amiet, Stefan Weigert

摘要:

建立了自旋和粒子的Moyal形式之间的一般关系。一旦自旋的形式主义建立起来,粒子的相空间描述就可以从转动群到平移群的“收缩”中得到。这可以通过将自旋维格纳核显式收缩为粒子的维格纳核来证明。事实上,对于一个自旋,2^{2s}个不同的可能内核中只有一个显示出这种行为。

英文摘要:

A general relation between the Moyal formalisms for a spin and a particle is established. Once the formalism has been set up for a spin, the phase-space description of a particle is obtained from the `contraction' of the group of rotations to the group of translations. This is shown by explicitly contracting a spin Wigner-kernel to the Wigner kernel of a particle. In fact, only one out of 2^{2s} different possible kernels for a spin shows this behaviour.

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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