Strong time operators associated with generalized Hamiltonians

Fumio Hiroshima, Sotaro Kuribayashi, Yasumichi Matsuzawa

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)115-123
    Number of pages9
    JournalLetters in Mathematical Physics
    Issue number1-2
    Publication statusPublished - Feb 2009

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics


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