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 - https://www.scopus.com/pages/publications/77957748990
U2 - 10.1016/j.physleta.2010.09.047
DO - 10.1016/j.physleta.2010.09.047
M3 - Article
AN - SCOPUS:77957748990
SN - 0375-9601
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
IS - 46
ER -