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Эффект Казимира-Полдера для плоскости со взаимодействием Черна-Саймонса

Эффект Казимира-Полдера для плоскости со взаимодействием Черна-Саймонса

Abstract

Проводится расчет потенциала Казимира-Полдера, описывающего взаимодействия нейтрального атома с флуктуациями вакуума фотонного поля в присутствии нарушающего пространственную однородность дефекта бесконечной плоскости без зарядов и токов. Для неидеально проводящей плоскости единственной совместной с базисными принципами квантовой электродинамики оказывается модель с дельта-потенциалом Черна-Саймонса, с одним, характеризующим свойства материала дефекта, безразмерным параметром. Из-за отсутствия среднего электрического дипольного момента у атома эффект Казимира-Полдера возникает вследствие скоррелированности по времени флуктуаций спонтанных дипольных моментов. Она определяет зависимость поляризации атома во внешнем электрическом поле от частоты. Существенная особенность полученного в данной работе результата для потенциала Казамира-Полдера, является его зависимость в случае неидеальной проводимости от антисимметричной по частоте части корреляционной функции дипольного момента. В пределе бесконечной константы связи она исчезает и получается хорошо известный потенциал Казимира-Полдера для идеально проводящей плоскости. Библиогр. 9 назв.

Calculation of Casimir-Polder potential describing interactions of a neutral atom with fluctuations of vacuum of the photon field at presence of defect breaking spatial uniformity (an infinite plane without charges and currents) is performed. For non-ideal conducting plane there is a unique model consistent with basic principles of quantum electrodynamics. There appears to be a model with the Chern-Simons delta-potential having one dimensionless parameter describing properties of a material of defect. Because of absence of an average electric dipole moment for an atom the Casimir-Polder effect arises because of correlations of the time of fluctuations of spontaneous dipole moments. It defines dependence on frequency of atom polarization in an external electric field. The essential feature of the result received in our work for the Casimir-Polder potential is its dependence in case of non-ideal conductivity on an antisymmetric on frequency part of the dipole moment correlation function. It disappears in a limit of an infinite interaction constant and the well-known Casimir-Polder potential for ideally conduction plane turns out.

Keywords

ПОТЕНЦИАЛ КАЗИМИРА-ПОЛДЕРА, НАРУШЕНИЕ ЧЕТНОСТИ, МАКРОНЕОДНОРОДНОСТИ С РЕЗКИМИ ГРАНИЦАМИ В КВАНТОВОЙ ЭЛЕКТРОДИНАМИКЕ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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