TY - JOUR
T1 - Uncertainty relations in the framework of equalities
AU - Ozawa, Tohru
AU - Yuasa, Kazuya
N1 - Funding Information:
This work is partially supported by the Top Global University Project from the Ministry of Education, Culture, Sports, Science and Technology ( MEXT ), Japan. TO is supported by a Grant-in-Aid for Scientific Research (A) (No. 26247014 ) from Japan Society for the Promotion of Science ( JSPS ). KY is supported by a Grant-in-Aid for Scientific Research (C) (No. 26400406 ) from JSPS and by Waseda University Grants for Special Research Projects (No. 2015K-202 and No. 2016K-215 ).
Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We study the Schrödinger–Robertson uncertainty relations in an algebraic framework. Moreover, we show that some specific commutation relations imply new equalities, which are regarded as equality versions of well-known inequalities such as Hardy's inequality.
AB - We study the Schrödinger–Robertson uncertainty relations in an algebraic framework. Moreover, we show that some specific commutation relations imply new equalities, which are regarded as equality versions of well-known inequalities such as Hardy's inequality.
KW - Uncertainty relations
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U2 - 10.1016/j.jmaa.2016.08.023
DO - 10.1016/j.jmaa.2016.08.023
M3 - Article
AN - SCOPUS:84984788410
SN - 0022-247X
VL - 445
SP - 998
EP - 1012
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -