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Ultra-Weak Time Operators of Schrodinger Operators

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84238

Title: Ultra-Weak Time Operators of Schrodinger Operators
Authors: Arai, Asao Browse this author
Hiroshima, F. Browse this author
Keywords: canonical commutation relations, time operator, ultra-weak time operator, Schr¨odinger operator.
Issue Date: 27-Jul-2016
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1094
Start Page: 1
End Page: 37
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 Schr¨odinger 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69898
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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