SciPost Submission Page
Is energy conserved when nobody looks?
by Stanisław Sołtan, Mateusz Frączak, Wolfgang Belzig, Adam Bednorz
|As Contributors:||Adam Bednorz · Wolfgang Belzig|
|Submitted by:||Bednorz, Adam|
|Submitted to:||SciPost Physics|
|Subject area:||Quantum Physics|
Conservation principles are essential to describe and quantify mechanical processes. Classically, the conservation holds objectively because the description of reality can be considered independent of observation. In quantum mechanics, however, invasive observations change quantities drastically, even those conserved classically. Interestingly, we find that the non-conservation is manifest even in weakly measured correlations if some of the observables do not commute with the conserved quantity. Our observations show that applications of conservation laws in quantum mechanics should be considered in their specific measurement context.
For Journal SciPost Physics Core: Publish
(status: Editorial decision appealed by authors)
Author comments upon resubmission
We are grateful for the comments of the Referee. We agree that the bottom line of our paper is that it follows from quantum mechanics that conservation laws must be contextual.
We have followed the suggestion of the Referee and changed the last sentence of the abstract. In addition we have applied minor improvements of the manuscript detailed below.
on behalf of all the authors
List of changes
a) Modified the last sentence of the abstract
b) Sightly reordered and modified the paragraph below (8) to emphasize the difference between
classical and quantum case.
c) Minor style changes at the end of Sec. 1 and beginning of Sec. 5.