A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra - Collections

＜preprint＞
A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra

Creator	Author PID L004157 Creator Name Takaesu, Toshimitsu 高江洲, 俊光タカエス, トシミツ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2010-07-06
Source Title	MI Preprint Series
Vol	24
Publication Type	Accepted Manuscript
Access Rights	open access
Related DOI	MI Preprint Series \|\| 2010-24 \|\| p1-6
Related DOI	http://www.math.kyushu-u.ac.jp/
Related URI	MI Preprint Series \|\| 2010-24 \|\| p1-6
Related URI	http://www.math.kyushu-u.ac.jp/
Relation	MI Preprint Series \|\| 2010-24 \|\| p1-6
Relation	http://www.math.kyushu-u.ac.jp/
Abstract	In this article we consider linear operators satisfying a generalized commutation relation of a type of the Heisenberg-Lie algebra. It is proven that a generalized inequality of the Hardy's uncertaint...y principle lemma follows. Its applications to time operators and abstract Dirac operators are also investigated.show more

File	FileType	Size	Views	Description
MI2010-24	pdf	91.8 KB	200

Record ID	17859
Peer-Reviewed	Unrefereed
Subject Terms	weak commutation relations
	Heisenberg-Lie algebra
	time operators
	Hamiltonians
	time-energy uncertainty relation
	Dirac operators
	essential self-adjointness
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	プレプリント
Created Date	2011.02.22
Modified Date	2019.09.06