论文标题
痕量公式中的分层结构
Hierarchical Structure in the Trace Formula
论文作者
论文摘要
Guztwiller的痕量公式是经典混乱系统中量子能水平和光谱统计的半经典理论的核心。由随机矩阵理论和数字理论的最新发展激发，我们阐明了周期性轨道有助于痕量公式的层次结构，这对量子混乱系统中光谱决定因素的价值分布有影响。
Guztwiller's Trace Formula is central to the semiclassical theory of quantum energy levels and spectral statistics in classically chaotic systems. Motivated by recent developments in Random Matrix Theory and Number Theory, we elucidate a hierarchical structure in the way periodic orbits contribute to the Trace Formula that has implications for the value distribution of spectral determinants in quantum chaotic systems.
