Field-theoretical space-time position operator of the Dirac electron
Quantum Physics
2011-01-12 v4
Abstract
A field-theoretical space-time position operator can be properly introduced for the Dirac field, it plays the role of a generalized Noether charge associated with a local symmetry, and its second-quantized form shows that quantum fields possess zero-point time, which implies that a zero-point fluctuation of energy must be accompanied with a zero-point fluctuation of time, and then in agreement with the time-energy uncertainty principle. In practice, some possible physical effects owing to zero-point time remain to be found.
Cite
@article{arxiv.quant-ph/0610155,
title = {Field-theoretical space-time position operator of the Dirac electron},
author = {Zhi-Yong Wang and Cai-Dong Xiong and Bing He},
journal= {arXiv preprint arXiv:quant-ph/0610155},
year = {2011}
}
Comments
This paper has been withdrawn by the author due to a crucial error in this paper