dc.identifier.uri |
http://dx.doi.org/10.15488/2568 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2594 |
|
dc.contributor.author |
Krivonos, Sergey
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Sorin, Alexander
|
|
dc.date.accessioned |
2018-01-09T07:53:10Z |
|
dc.date.available |
2018-01-09T07:53:10Z |
|
dc.date.issued |
2017 |
|
dc.identifier.citation |
Krivonos, S.; Lechtenfeld, O.; Sorin, A.: Hidden symmetries of deformed oscillators. In: Nuclear Physics B 924 (2017), S. 33-46. DOI: https://doi.org/10.1016/j.nuclphysb.2017.09.003 |
|
dc.description.abstract |
We associate with each simple Lie algebra a system of second-order differential equations invariant under a non-compact real form of the corresponding Lie group. In the limit of a contraction to a Schrödinger algebra, these equations reduce to a system of ordinary harmonic oscillators. We provide two clarifying examples of such deformed oscillators: one system invariant under SO(2,3) transformations, and another system featuring G2(2) symmetry. The construction of invariant actions requires adding semi-dynamical degrees of freedom; we illustrate the algorithm with the two examples mentioned. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Amsterdam : Elsevier B.V. |
|
dc.relation.ispartofseries |
Nuclear Physics B 924 (2017) |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
dc.subject |
Lie algebra |
eng |
dc.subject |
Schrödinger |
eng |
dc.subject |
oscillator |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Hidden symmetries of deformed oscillators |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
0550-3213 |
|
dc.relation.doi |
https://doi.org/10.1016/j.nuclphysb.2017.09.003 |
|
dc.bibliographicCitation.volume |
924 |
|
dc.bibliographicCitation.firstPage |
33 |
|
dc.bibliographicCitation.lastPage |
46 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|