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arXiv 0908.2723hep-th
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标量电动力学中拉莫尔辐射公式的量子修正

Quantum corrections to the Larmor radiation formula in scalar electrodynamics

A. Higuchi, P. J. Walker

摘要:

利用微扰标量量子电动力学中的半经典近似,选取带电粒子的初态为动量本征态,计算了在非相对论近似下,Larmor辐射公式对普朗克常数的一阶量子修正.我们在两种情况下计算这种校正:在第一种情况下,带电粒子被一个与时间相关但与空间无关的矢量势加速,而在第二种情况下,它被一个与时间无关的矢量势加速,该矢量势是一个空间坐标的函数。我们发现,在这两种情况下的修正是不同的,即使是一个带电粒子具有相同的经典运动。在每种情况下的校正原来是非本地的时间在经典的近似相反。

英文摘要:

We use the semi-classical approximation in perturbative scalar quantum electrodynamics to calculate the quantum correction to the Larmor radiation formula to first order in Planck's constant in the non-relativistic approximation, choosing the initial state of the charged particle to be a momentum eigenstate. We calculate this correction in two cases: in the first case the charged particle is accelerated by a time-dependent but space-independent vector potential whereas in the second case it is accelerated by a time-independent vector potential which is a function of one spatial coordinate. We find that the corrections in these two cases are different even for a charged particle with the same classical motion. The correction in each case turns out to be non-local in time in contrast to the classical approximation.

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