Strong time operators associated with generalized Hamiltonians

Fumio Hiroshima, Sotaro Kuribayashi, Yasumichi Matsuzawa

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 ∈ 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
Volume87
Issue number1-2
DOIs
Publication statusPublished - Feb 1 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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