论文标题
规范合奏中非交互的费米和玻色子的理论
Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
论文作者
论文摘要
我们提出了一种独立的理论，用于确切计算规范合奏中非相互作用粒子的粒子数计数统计。该一般框架介绍了辅助分区功能的概念，并代表了先前不同方法的统一，许多已知结果似乎是发达的数学结构的直接后果。此外，我们介绍了职业数量之间的相关性的一般分解，该相关性根据个人能量水平的职业数量，这对于非分类和退化光谱都是有效的。为了证明该理论在堕落的存在下的适用性，我们计算在磁场存在下在骨环中最高第四阶的能级相关性。
We present a self-contained theory for the exact calculation of particle number counting statistics of non-interacting indistinguishable particles in the canonical ensemble. This general framework introduces the concept of auxiliary partition functions, and represents a unification of previous distinct approaches with many known results appearing as direct consequences of the developed mathematical structure. In addition, we introduce a general decomposition of the correlations between occupation numbers in terms of the occupation numbers of individual energy levels, that is valid for both non-degenerate and degenerate spectra. To demonstrate the applicability of the theory in the presence of degeneracy, we compute energy level correlations up to fourth order in a bosonic ring in the presence of a magnetic field.
