結局「量子力学で定義した物理量」ってのが今の文脈で何指してるかわからず仕舞いだが、
これ以上訊いても切れられそうだからもうやめとくわ

今朝たまたまこんなの見つけた
Aspects of universally valid Heisenberg uncertainty relation
Kazuo Fujikawa and Koichiro Umetsu
http://arxiv.org/pdf/1211.1828.pdf

> It is also shown that
> all the universally valid uncertainty relations are derived from
> Robertson’s relation and thus the essence of the uncertainty
> relation is exhausted by Robertson’s relation as is widely accepted.
だってさ