Can I read Action-angle Variables for Dihedral Systems on the Circle on EtoBox?
Action-angle Variables for Dihedral Systems on the Circle by Olaf Lechtenfeld; Armen Nersessian; Vahagn Yeghikyan is a scholarly article available to read on EtoBox.
What is Action-angle Variables for Dihedral Systems on the Circle about?
A nonrelativistic particle on a circle and subject to a cos -2 (kφ) potential is related to the twodimensional (dihedral) Coxeter system I 2 (k), for k ∈ N. 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 A 2 , BC 2 and G 2 three-particle rational Calogero models on R, which we also analyze.
- Author
- Olaf Lechtenfeld; Armen Nersessian; Vahagn Yeghikyan
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0375-9601)
- Published
- 2010
- Language
- EN