广义量子统计
The Generalized Quantum Statistics
摘要：
波函数约化的概念应该被引入到标准量子力学中，在任何发生波函数有效约化的物理过程中，以及在测量过程中。当重叠可以忽略时，每个粒子服从麦克斯韦-玻尔兹曼统计，即使粒子原则上由完全对称的波函数描述[P. R. Holland，The量子理论of Motion，Cambridge University Press，1993，p293]。我们推广了这个猜想。也就是说，粒子服从某些广义统计，其中包含量子统计和经典统计作为特殊情况，其中重叠程度决定了粒子在连续广义统计中应该服从的统计。我们提出了一个例子与猜想一致。
英文摘要：
The concept of wavefunction reduction should be introduced to standard quantum mechanics in any physical processes where effective reduction of wavefunction occurs, as well as in the measurement processes. When the overlap is negligible, each particle obey Maxwell-Boltzmann statistics even if the particles are in principle described by totally symmetrized wavefunction [P.R.Holland, The Quantum Theory of Motion, Cambridge Unversity Press, 1993, p293]. We generalize the conjecture. That is, particles obey some generalized statistics that contains the quantum and classical statistics as special cases, where the degree of overlapping determines the statistics that particles should obey among continuous generalized statistics. We present an example consistent with the conjecture.
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