The Casimir effect revisited
作者:
Frederik J. Belinfante,
期刊:
American Journal of Physics
(AIP Available online 1987)
卷期:
Volume 55,
issue 2
页码: 134-138
ISSN:0002-9505
年代: 1987
DOI:10.1119/1.15230
出版商: American Association of Physics Teachers
关键词: PLATES;ZERO−POINT ENERGY;CAPACITORS;QUANTUM FIELD THEORY;CASIMIR OPERATORS
数据来源: AIP
摘要:
Using Wick’s normal‐ordered expression for the quantum‐mechanical energy of a radiation field, so that in absence of matter the zeropoint energy of a radiation field would vanish, the Casimir effect of attraction between uncharged condenser plates in absence of photons will still follow, due to a nonvanishing but finite zeropoint radiation energy in the presence of these plates. If we assume the plates to be transparent for electromagnetic waves of sufficiently high frequency, the remaining zeropoint energy density itself will be finite (and not merely its variation under a change of the distance between the plates). These results are obtained by a more careful consideration of where in sums over modes of vibration one should use sums over running waves with a periodicity condition, where one should sum over standing waves with nodes at conducting boundaries, and where these sums may be replaced by integrals.
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