Strong time operators associated with generalized Hamiltonians

Details Strong time operators associated with generalized Hamiltonians Strong time operators associated with generalized Hamiltonians

2008-10-14

arxiv.org/abs/0810.2350v2

Physics

Mathematical Physics

10 pages

Scientific paper

10.1007/s11005-008-0287-y

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.

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