Details
| Original language | English |
|---|---|
| Pages (from-to) | 4647-4652 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 374 |
| Issue number | 46 |
| Publication status | Published - 18 Oct 2010 |
Abstract
A nonrelativistic particle on a circle and subject to a cos-2(kφ) potential is related to the two-dimensional (dihedral) Coxeter system I2(k), for kεN. For such 'dihedral systems' we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A2, BC2 and G2 three-particle rational Calogero models on R, which we also analyze.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 374, No. 46, 18.10.2010, p. 4647-4652.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Action-angle variables for dihedral systems on the circle
AU - Lechtenfeld, Olaf
AU - Nersessian, Armen
AU - Yeghikyan, Vahagn
N1 - Funding Information: We are grateful to Tigran Hakobyan for useful discussions and comments. The work was supported by ANSEF - 2229PS grant and by Volkswagen Foundation grant I/84 496 . Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2010/10/18
Y1 - 2010/10/18
N2 - A nonrelativistic particle on a circle and subject to a cos-2(kφ) potential is related to the two-dimensional (dihedral) Coxeter system I2(k), for kεN. For such 'dihedral systems' we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A2, BC2 and G2 three-particle rational Calogero models on R, which we also analyze.
AB - A nonrelativistic particle on a circle and subject to a cos-2(kφ) potential is related to the two-dimensional (dihedral) Coxeter system I2(k), for kεN. For such 'dihedral systems' we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A2, BC2 and G2 three-particle rational Calogero models on R, which we also analyze.
UR - http://www.scopus.com/inward/record.url?scp=77957748990&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.09.047
DO - 10.1016/j.physleta.2010.09.047
M3 - Article
AN - SCOPUS:77957748990
VL - 374
SP - 4647
EP - 4652
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 46
ER -