Quantum Mechanics and Relativity --- Their Unification by Local Time ---
General Relativity and Quantum Cosmology
2008-02-03 v5
Abstract
A quantum-mechanical Hamiltonian with a gravitational potential is derived in the framework of local times. This Hamiltonian is the one used by E. H. Lieb (Bull. Amer. Math. Soc. 22(1990), 1-49) in his explanation of stability and instability of cold stars. Our procedure deriving the Hamiltonian is based on an analysis of the process of the observation with the background of the notion of quantum-mechanical local times compatible with general theory of relativity.
Cite
@article{arxiv.gr-qc/9612043,
title = {Quantum Mechanics and Relativity --- Their Unification by Local Time ---},
author = {Hitoshi Kitada},
journal= {arXiv preprint arXiv:gr-qc/9612043},
year = {2008}
}
Comments
31 pages, AmSTeX