dc.identifier.uri |
http://dx.doi.org/10.15488/8773 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/8826 |
|
dc.contributor.author |
Busch, Paul
|
|
dc.contributor.author |
Kiukas, Jukka
|
|
dc.contributor.author |
Werner, Reinhard F.
|
|
dc.date.accessioned |
2019-12-11T12:50:53Z |
|
dc.date.available |
2019-12-11T12:50:53Z |
|
dc.date.issued |
2018 |
|
dc.identifier.citation |
Busch, P.; Kiukas, J.; Werner, R.F.: Sharp uncertainty relations for number and angle. In: Journal of Mathematical Physics 59 (2018), Nr.4, 042102. DOI: https://doi.org/10.1063/1.5030101 |
|
dc.description.abstract |
We study uncertainty relations for pairs of conjugate variables like number and angle, of which one takes integer values and the other takes values on the unit circle. The translation symmetry of the problem in either variable implies that measurement uncertainty and preparation uncertainty coincide quantitatively, and the bounds depend only on the choice of two metrics used to quantify the difference of number and angle outputs, respectively. For each type of observable, we discuss two natural choices of metric and discuss the resulting optimal bounds with both numerical and analytical methods. We also develop some simple and explicit (albeit not sharp) lower bounds, using an apparently new method for obtaining certified lower bounds to ground state problems. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
College Park, MD : American Institute of Physics |
|
dc.relation.ispartofseries |
Journal of Mathematical Physics 59 (2018), Nr. 4 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
|
dc.subject |
uncertainty relations |
eng |
dc.subject |
Kennard relation |
eng |
dc.subject |
Robertson relation |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Sharp uncertainty relations for number and angle |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1089-7658 |
|
dc.relation.issn |
0022-2488 |
|
dc.relation.doi |
https://doi.org/10.1063/1.5030101 |
|
dc.bibliographicCitation.issue |
4 |
|
dc.bibliographicCitation.volume |
59 |
|
dc.bibliographicCitation.firstPage |
42102 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|