### Abstract

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

Original language | English |
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Pages (from-to) | 115-123 |

Number of pages | 9 |

Journal | Letters in Mathematical Physics |

Volume | 87 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Feb 1 2009 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Hiroshima, F., Kuribayashi, S., & Matsuzawa, Y. (2009). Strong time operators associated with generalized Hamiltonians.

*Letters in Mathematical Physics*,*87*(1-2), 115-123. https://doi.org/10.1007/s11005-008-0287-y