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Title: Spectrum Density Factor of Photons and Its Application in the Casimir Force

Abstract

The observables of continuous eigenvalues are defined in an infinite-dimensional ket space. The complete set of such eigenstates demands a spectrum density factor, for example, for the photons in the free space and electrons in the vacuum. From the derivation of the Casimir force without an artificial regulator we determine the explicit expression of the spectrum density factor for the photon field to be an exponential function. In conclusion, the undetermined constant in the function is fixed by the experimental data for the Lamb shift. With that, we predict that there exists a correction to the Casimir force.

Authors:
 [1];  [1];  [2];  [3]
  1. Zhejiang Normal Univ., Jinhua (China)
  2. Stanford Univ., Stanford, CA (United States)
  3. Univ. of Science and Technology of China, Hefei (China)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1526966
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Communications in Theoretical Physics
Additional Journal Information:
Journal Volume: 71; Journal Issue: 4; Journal ID: ISSN 0253-6102
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
spectrum density factor; Casimir force; Lamb shift

Citation Formats

Gao, Xian -Long, Meng, Ye -Ming, Wu, Ju -Hao, and Wang, Ke -Lin. Spectrum Density Factor of Photons and Its Application in the Casimir Force. United States: N. p., 2019. Web. doi:10.1088/0253-6102/71/4/397.
Gao, Xian -Long, Meng, Ye -Ming, Wu, Ju -Hao, & Wang, Ke -Lin. Spectrum Density Factor of Photons and Its Application in the Casimir Force. United States. doi:10.1088/0253-6102/71/4/397.
Gao, Xian -Long, Meng, Ye -Ming, Wu, Ju -Hao, and Wang, Ke -Lin. Mon . "Spectrum Density Factor of Photons and Its Application in the Casimir Force". United States. doi:10.1088/0253-6102/71/4/397.
@article{osti_1526966,
title = {Spectrum Density Factor of Photons and Its Application in the Casimir Force},
author = {Gao, Xian -Long and Meng, Ye -Ming and Wu, Ju -Hao and Wang, Ke -Lin},
abstractNote = {The observables of continuous eigenvalues are defined in an infinite-dimensional ket space. The complete set of such eigenstates demands a spectrum density factor, for example, for the photons in the free space and electrons in the vacuum. From the derivation of the Casimir force without an artificial regulator we determine the explicit expression of the spectrum density factor for the photon field to be an exponential function. In conclusion, the undetermined constant in the function is fixed by the experimental data for the Lamb shift. With that, we predict that there exists a correction to the Casimir force.},
doi = {10.1088/0253-6102/71/4/397},
journal = {Communications in Theoretical Physics},
number = 4,
volume = 71,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
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This content will become publicly available on April 1, 2020
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