Strong time operators associated with generalized Hamiltonians

Fumio Hiroshima, Sotaro Kuribayashi, Yasumichi Matsuzawa

Research output: Contribution to journalArticle

4 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

Fingerprint

Time Operator
operators
Closed
Closed Operator
Symmetric Operator
Measurable function
Henri Léon Lebésgue
Lebesgue Measure
set theory
Subset
Zero
Operator

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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

In: Letters in Mathematical Physics, Vol. 87, No. 1-2, 01.02.2009, p. 115-123.

Research output: Contribution to journalArticle

Hiroshima, Fumio ; Kuribayashi, Sotaro ; Matsuzawa, Yasumichi. / Strong time operators associated with generalized Hamiltonians. In: Letters in Mathematical Physics. 2009 ; Vol. 87, No. 1-2. pp. 115-123.
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