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Ultra-Weak Time Operators of Schrodinger Operators
| 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 link.springer.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/71420 |
| 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)
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Submitter: 新井 朝雄
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