非极值临界点对半经典迹公式的贡献
Contributions of non-extremum critical points to the semi-classical trace formula
摘要：
研究了$\mathbb{R}^{n}$上的$h$ -伪微分算子在临界能级上的半经典迹公式，该算子的主象征对于该能量具有完全退化的临界点.在“实主型”条件下计算孤立非极值临界点对迹公式的贡献。对迹公式的新贡献在$\mathbb{R}$的紧致子集中对所有时间都是有效的，但由于我们对维数有限制，结果是适度的。
英文摘要：
We study the semi-classical trace formula at a critical energy level for a $h$-pseudo-differential operator on $\mathbb{R}^{n}$ whose principal symbol has a totally degenerate critical point for that energy. We compute the contribution to the trace formula of isolated non-extremum critical points under a condition of "real principal type". The new contribution to the trace formula is valid for all time in a compact subset of $\mathbb{R}$ but the result is modest since we have restrictions on the dimension.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
