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arXiv 0810.2350math-phmath.MP
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与广义Hamilton算子相关的强时间算子

Strong time operators associated with generalized Hamiltonians

Fumio Hiroshima, Sotaro Kuribayashi, Yasumichi Matsuzawa

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10 pages
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摘要：

设算子对$(H, T)$满足弱Weyl关系：$Te^{-itH} = e^{-itH}(T + t)$，其中$H$是自伴的，$T$是闭对称的。设g是$\RR$上的实值Lebesgue可测函数，使得对于某个闭子集$K \subset \RR$，$g \in C^2(R K)$的Lebesgue测度为零.然后我们可以构造一个闭对称算子$D$，使得$(g(H), D)$也服从弱Weyl关系.

英文摘要：

Let the pair of operators, $(H, T)$, satisfy the weak Weyl relation: $Te^{-itH} = e^{-itH}(T + t)$, where $H$ is self-adjoint and $T$ is closed symmetric. Suppose that g is a realvalued Lebesgue measurable function on $\RR$ such that $g \in C^2(R K)$ for some closed subset $K \subset \RR$ with Lebesgue measure zero. Then we can construct a closed symmetric operator $D$ such that $(g(H), D)$ also obeys the weak Weyl relation.

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。

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