Quantizing preserving Noether symmetries
Quantum Physics
2011-08-12 v1 Mathematical Physics
math.MP
Abstract
A procedure which obviates the constraint imposed by the conflict between consistent quantization and the invariance of the Hamiltonian description under nonlinear canonical transformation is proposed. This new quantization scheme preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schr\"odinger's equation. As an example, the quantization of the `goldfish' many-body problem extensively studied by Calogero et al. is presented.
Cite
@article{arxiv.1108.2300,
title = {Quantizing preserving Noether symmetries},
author = {M. C. Nucci},
journal= {arXiv preprint arXiv:1108.2300},
year = {2011}
}