Details
| Original language | English |
|---|---|
| Pages (from-to) | 399-420 |
| Number of pages | 22 |
| Journal | Nuclear Physics B |
| Volume | 886 |
| Publication status | Published - 1 Sept 2014 |
Abstract
We investigate the integrals of motion of general conformal mechanical systems with and without confining harmonic potential as well as of the related angular subsystems, by employing the sl(2,R) algebra and its representations. In particular, via the tensor product of two representations we construct new integrals of motion from old ones, both in the classical and in the quantum case. Furthermore, the temporally periodic observables (including the integrals) of the angular subsystem are explicitly related to those of the full system in a confining harmonic potential. The techniques are illustrated for the rational Calogero models and their angular subsystems, where they generalize known methods for obtaining conserved charges beyond the Liouville ones.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 886, 01.09.2014, p. 399-420.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The structure of invariants in conformal mechanics
AU - Hakobyan, Tigran
AU - Karakhanyan, David
AU - Lechtenfeld, Olaf
N1 - Funding Information: We are grateful to A. Nersessian for simulating discussions. This work has been supported by the VolkswagenStiftung under the grant no. 86 260 . Further support was given by the Armenian State Committee of Science , grants no. 13RF-018 (T.H., D.K.), 13-1C114 (T.H.), 13-1C132 (D.K.), and by ANSEF grants no. 3501 (T.H.) and 3122 (D.K.). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2014/9/1
Y1 - 2014/9/1
N2 - We investigate the integrals of motion of general conformal mechanical systems with and without confining harmonic potential as well as of the related angular subsystems, by employing the sl(2,R) algebra and its representations. In particular, via the tensor product of two representations we construct new integrals of motion from old ones, both in the classical and in the quantum case. Furthermore, the temporally periodic observables (including the integrals) of the angular subsystem are explicitly related to those of the full system in a confining harmonic potential. The techniques are illustrated for the rational Calogero models and their angular subsystems, where they generalize known methods for obtaining conserved charges beyond the Liouville ones.
AB - We investigate the integrals of motion of general conformal mechanical systems with and without confining harmonic potential as well as of the related angular subsystems, by employing the sl(2,R) algebra and its representations. In particular, via the tensor product of two representations we construct new integrals of motion from old ones, both in the classical and in the quantum case. Furthermore, the temporally periodic observables (including the integrals) of the angular subsystem are explicitly related to those of the full system in a confining harmonic potential. The techniques are illustrated for the rational Calogero models and their angular subsystems, where they generalize known methods for obtaining conserved charges beyond the Liouville ones.
UR - http://www.scopus.com/inward/record.url?scp=84905842501&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2014.07.008
DO - 10.1016/j.nuclphysb.2014.07.008
M3 - Article
AN - SCOPUS:84905842501
VL - 886
SP - 399
EP - 420
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -