Ultra-Weak Time Operators of Schrödinger Operators

Asao Arai, Fumio Hiroshima

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

In an abstract framework, a new concept on time operator, ultra-weak time operator, is introduced, which is a concept weaker than that of weak time operator. Theorems on the existence of an ultra-weak time operator are established. As an application of the theorems, it is shown that Schrödinger operators HV with potentials V obeying suitable conditions, including the Hamiltonian of the hydrogen atom, have ultra-weak time operators. Moreover, a class of Borel measurable functions f: R→ R such that f(HV) has an ultra-weak time operator is found.

本文言語英語
ページ(範囲)2995-3033
ページ数39
ジャーナルAnnales Henri Poincare
18
9
DOI
出版ステータス出版済み - 9 1 2017

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 核物理学および高エネルギー物理学
  • 数理物理学

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