English

Conformal mechanics

High Energy Physics - Theory 2015-06-12 v4 Mathematical Physics math.MP Quantum Physics

Abstract

The SL(2,R) invariant Hamiltonian systems are discussed within the frame- work of the orbit method. It is shown that both dynamics and symmetry trans- formations are globally well-defined on phase space. The flexibility in the choice of time variable and Hamiltonian function described in the paper by de Alfaro et al. (Nuovo Cim. 34A (1976),569) is related to the nontrivial global structure of 1 + 0-dimensional space-time. The operational definition of time is discussed.

Keywords

Cite

@article{arxiv.1211.4403,
  title  = {Conformal mechanics},
  author = {Joanna Gonera},
  journal= {arXiv preprint arXiv:1211.4403},
  year   = {2015}
}

Comments

22 pages, 4 figures, few references added

R2 v1 2026-06-21T22:40:45.065Z