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Ultra-Weak Time Operators of Schrodinger Operators

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Title: Ultra-Weak Time Operators of Schrodinger Operators
Authors: Arai, Asao Browse this author →KAKEN DB
Hiroshima, Fumio Browse this author
Issue Date: Sep-2017
Publisher: Springer
Journal Title: Annales Henri Poincaré
Volume: 18
Issue: 9
Start Page: 2995
End Page: 3033
Publisher DOI: 10.1007/s00023-017-0586-x
Abstract: 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 Schrodinger operators 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(H-V) has an ultra-weak time operator is found.
Rights: The final publication is available at
Type: article (author version)
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 新井 朝雄

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