Quantum conformal mechanics
High Energy Physics - Theory
2015-06-19 v1
Abstract
The quantum mechanics of one degree of freedom exhibiting the exact conformal SL(2,R) symmetry is presented. The starting point is the classification of the unitary irreducible representations of the SL(2,R) group (or, to some extent, its universal covering). The coordinate representation is defined as the basis diagonalizing the special conformal generator K. It is indicated how the resulting theory emerges from the canonical/geometric quantization of the Hamiltonian dynamics on the relevant coadjoint orbits.
Cite
@article{arxiv.1506.05596,
title = {Quantum conformal mechanics},
author = {K. Andrzejewski},
journal= {arXiv preprint arXiv:1506.05596},
year = {2015}
}
Comments
30 pages