关键词: 多体电子体系, 单粒子分布函数, 热力学稳定性, 量子点体系

Abstract: By exploiting the stability of quantum dot system and applying the variational principle, we prove that its single-particle distribution function is non-increasing with respect to the energy levels at zero temperature. Our result shows that the properties of the spectral functions in a quantum many-body system is largely determined by its thermodynamic stability.

Key words: many-body electron systems, single-particle distribution function, thermodynamic stability, quantum dot system