Some Peculiarities of Newton-Hooke Space-Times
Mathematical Physics
2011-11-08 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Newton-Hooke space-times are the non-relativistic limit of (anti-)de Sitter space-times. We investigate some peculiar facts about the Newton-Hooke space-times, among which the "extraordinary Newton-Hooke quantum mechanics" and the "anomalous Newton-Hooke space-times" are discussed in detail. Analysis on the Lagrangian/action formalism is performed in the discussion of the Newton-Hooke quantum mechanics, where the path integral point of view plays an important role, and the physically measurable density of probability is clarified.
Keywords
Cite
@article{arxiv.1109.3875,
title = {Some Peculiarities of Newton-Hooke Space-Times},
author = {Yu Tian},
journal= {arXiv preprint arXiv:1109.3875},
year = {2011}
}
Comments
20 pages, revtex4, a slightly shortened version to appear in IJMPD; v2: added a reference