Quantization and Renormalization and the Casimir Energy of a Scalar Field Interacting with a Rotating Ring
Quantization and Renormalization and the Casimir Energy of a Scalar Field Interacting with a Rotating Ring
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与旋转环相互作用的标量场的量化和重整化以及卡西米尔能量
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
M. Schaden
中科院分区：
文献类型：
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作者：
M. Schaden
通过引入背景势运动的集体坐标，研究了无质量标量场与旋转圆环相互作用的半经典模型中真空涨落的效应。该模型求解的排斥周期性$\delta$-分布背景的任意强度。在同向旋转和Legendre变换下，在静止的实验室坐标系中计算了该系统的Casimir能量。在这个模型中，零点对角动量的贡献由$|联系我们|并且整个系统的基态因此通常是不旋转的，具有正的惯性矩，该惯性矩随着角旋转频率的增加而仅略微减小。在零温度下，该系统的总角动量和能量的零点贡献与经典贡献之间没有转移。
Effects due to vacuum fluctuations in a semi-classical model of a massless scalar field interacting with a rotating ring are investigated by introducing a collective coordinate for the motion of the background potential. The model is solved for a repulsive periodic $\delta$-distribution background of arbitrary strength. The Casimir energy of this system is calculated in the co-rotating and, by Legendre transformation, in the stationary laboratory frame. The zero-point contribution to the angular momentum in this model is bounded below by $|\ell_{ZP}|\leq\hbar/24$ and the ground state of the entire system thus generally is non-rotating with a positive moment of inertia that decreases only slightly with increasing angular rotation frequency. There is no transfer between the zero-point and classical contributions to the total angular momentum and energy of this system at zero temperature.