Classical mechanics with lapse
广义相对论与量子宇宙学
2009-10-28 v1
摘要
Mechanics is developed over a differentiable manifold as space of possible positions. Time is considered to fill a one--dimensional Riemannian manifold, so having the metric as lapse. Then the system is quantized with covariant instead of partial derivatives in the Schr\"odinger operator. Consequences for quantum cosmology are shortly discussed.
引用
@article{arxiv.gr-qc/9510062,
title = {Classical mechanics with lapse},
author = {Hans - Juergen Schmidt},
journal= {arXiv preprint arXiv:gr-qc/9510062},
year = {2009}
}
备注
13 pages, latex, no figures, J. Math. Phys. in print