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Hokkaido University Preprint Series in Mathematics >
Ultra-Weak Time Operators of Schrodinger Operators
| 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
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Submitter: 数学紀要登録作業用
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