Time as a Dynamical Variable
Quantum Physics
2011-04-26 v3
Abstract
There are enough reasons for us to consider time as a dynamical variable or operator; but according to Pauli's argument the existence of a self-adjoint time operator is incompatible with the semi-boundedness of Hamiltonian spectrum. In this article, we study the expressions of time operator and the definitions of mean time from a general and new viewpoint, make a new comment on Pauli's objections, and clarify some possible confusion in existing theories of time in quantum mechanics. From which we try to provide a new gateway for the conundrum of time in quantum mechanics and reconstruct a unified foundation for some issues of time.
Cite
@article{arxiv.quant-ph/0311188,
title = {Time as a Dynamical Variable},
author = {Z. Y. Wang and B. Chen and C. D. Xiong},
journal= {arXiv preprint arXiv:quant-ph/0311188},
year = {2011}
}
Comments
This paper has been withdrawn by the author due to an alternative submit (arXiv:quant-ph/0609211)