具有内部量子态粒子的统计
Statistics for Particles Having Internal Quantum State
摘要:
从多粒子系统的量子态是粒子内部空间的泛函出发,提出了一种介于玻色统计和费米统计之间的新的量子统计。导出了这种粒子产生和湮灭算符的量子对易关系,研究了粒子的理想气体的统计配分函数和热力学性质。讨论了这种量子统计在极值黑洞系综中的应用。
英文摘要:
A new kind of quantum statistics which interpolates between Bose and Fermi statistics is proposed beginning with the assumption that the quantum state of a many-particle system is a functional on the internal space of the particles. The quantum commutation relations for such particle creation and annihilation operators are derived, and statistical partition function and thermodynamical properties of an ideal gas of the particles are investigated. The application of this quantum statistics for the ensemble of extremal black holes are discussed.
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