### 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 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Letters in Mathematical Physics*,

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

**Strong time operators associated with generalized Hamiltonians.** / Hiroshima, Fumio; Kuribayashi, Sotaro; Matsuzawa, Yasumichi.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 87, no. 1-2, pp. 115-123. https://doi.org/10.1007/s11005-008-0287-y

}

TY - JOUR

T1 - Strong time operators associated with generalized Hamiltonians

AU - Hiroshima, Fumio

AU - Kuribayashi, Sotaro

AU - Matsuzawa, Yasumichi

PY - 2009/2/1

Y1 - 2009/2/1

N2 - 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 ∈ c2(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.

AB - 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 ∈ c2(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.

UR - http://www.scopus.com/inward/record.url?scp=59949088222&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=59949088222&partnerID=8YFLogxK

U2 - 10.1007/s11005-008-0287-y

DO - 10.1007/s11005-008-0287-y

M3 - Article

AN - SCOPUS:59949088222

VL - 87

SP - 115

EP - 123

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1-2

ER -