On Quantum Radiation from a Moving Body with Finite Refractive Index
On Quantum Radiation from a Moving Body with Finite Refractive Index
复制标题
有限折射率运动体的量子辐射
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
C. Eberlein
中科院分区：
文献类型：
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作者：
G. Barton;C. Eberlein
摘要 移动镜子的辐射是卡西米尔效应的动态对应物，是量子物理学所特有的。大多数早期的治疗方法只考虑完美反射的物体，这需要非常复杂和特殊的方法。通过刻意的对比，我们研究了仅需要最基本版本的场量化的哈密顿形式主义。它适用于只有一个物体的一维标量模型，然而，仅依赖于容易推广到更高维度和麦克斯韦场的方法。物体可以具有任何有限（但非色散）的折射率 n；对于远低于 c 但在其他方面任意的速度，人们只需要简单的微扰和绝热近似的明智混合。它们产生光谱、总辐射能量、辐射反作用力 F 及其在身体上的分布。完美反射器极限 n → ∞ 可以在所有最终结果中采用：它给出了 F 的耗散部分，与之前的计算一致，另一部分对物体的质量进行了重新归一化，这是由一些但不是所有其他工作人员报告的。
Abstract Radiation from moving mirrors, a dynamic counterpart to the Casimir effect, is peculiar to quantum physics. Most earlier treatments consider only perfectly reflecting bodies, which need notoriously sophisticated and ad hoc methods. By deliberate contrast we study a Hamiltonian formalism requiring only the most elementary version of field quantization. It is applied to a one-dimensional scalar model with just one body, relying, however, only on methods readily generalized to higher dimensions and to the Maxwell field. The body can have any finite (but nondispersive) refractive index n; for speeds well below c but otherwise arbitrary, one needs only a judicious blend of simple perturbative and adiabatic approximations. They yield the spectrum, the total radiated energy, the radiative reaction force F , and its distribution over the body. The perfect-reflector limit n → ∞ can be taken in all end-results: it gives a dissipative part of F agreeing with previous calculations, and another part renormalizing the mass of the body, reported by some but not all other workers.