广义乘积公式与量子控制
Generalized Product Formulas and Quantum Control
摘要：
研究了两个不一定对易的算符的指数函数联合作用下的量子演化。我们考虑的限制，其中两个演变交替在无限的频率。这种情况出现在过多的情况下，无论是在物理（费曼积分）和数学（产品公式）。我们专注于两个演化时间的情况下，不同的限制和推广标准的技术和结果。
英文摘要：
We study the quantum evolution under the combined action of the exponentials of two not necessarily commuting operators. We consider the limit in which the two evolutions alternate at infinite frequency. This case appears in a plethora of situations, both in physics (Feynman integral) and mathematics (product formulas). We focus on the case in which the two evolution times are scaled differently in the limit and generalize standard techniques and results.
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