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
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.
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