LOCAL OBSERVABLES AND PARTICLE STATISTICS .1.
LOCAL OBSERVABLES AND PARTICLE STATISTICS .1.
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DOI：
10.1007/bf01877742
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发表时间：
1971-01-01
影响因子：
2.4
通讯作者：
ROBERTS, JE
中科院分区：
文献类型：
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作者：
DOPLICHER, S;HAAG, R;ROBERTS, JE
我们考虑那些在遥远空间区域的观测中与真空渐近不可区分的状态族。这个族的纯态可以被细分为用广义电荷量子数标记的超选择扇区。局部性原则意味着，在这个家族中，人们可以定义一种天然产物组成（例如，从单粒子态到吨粒子态）。p (n)，即元素的置换群，本质上与一个扇区的状态的折叠积有关，其作用类似于波动力学中由非粒子波函数的参数的置换所产生的作用。我们表明，每个扇区都有一个“统计参数”λ，它决定了所有可能值为0，±d−1（一个正整数）的所有and的p (n)表示的性质。λ≠0的扇区具有唯一的电荷共轭态（“反粒子”态）；如果λ=d−1扇形态服从有序的准玻色统计量，如果λ=−d−1扇形态服从有序的准费米统计量。给出了限制λ为±1（普通玻色或费米统计量）的一些条件。
We consider the family of those states which become asymptotically indistinguishable from the vacuum for observations in far away regions of space. The pure states of this family may be subdivided into superselection sectors labelled by generalized charge quantum numbers. The principle of locality implies that within this family one may define a natural product composition (leading for instance from single particle states ton-particle states). Intrinsically associated with then-fold product of states of one sector there is a unitary representation ofP(n), the permutation group ofnelements, analogous in its role to that arising in wave mechanics from the permutations of the arguments of ann-particle wave function. We show that each sector possesses a “statistics parameter” λ which determines the nature of the representation ofP(n)for allnand whose possible values are 0, ±d−1(da positive integer). A sector with λ ≠ 0 has a unique charge conjugate (“antiparticle” states); if λ=d−1the states of the sector obey para-Bose statistics of orderd, if λ=−d−1they obey para-Fermi statistics of orderd. Some conditions which restrict λ to ± 1 (ordinary Bose or Fermi statistics) are given.