光子散射的非重整化场论处理
A Non-Renormalized Field Theoretic Treatment of Photon Scattering
摘要:
本文给出了初始处于基态的谐振子对光子散射的一般处理。我们已经预测了散射横截面的振荡器,并表明如何治疗总是需要重整化的形式。作为我们处理的一个特例,我们讨论了瑞利散射和汤姆逊散射,并计算了总截面,以便与实验结果相一致。为了简化问题,采用了两个近似,但没有偏离我们的目标。采用二阶微扰理论,其中谐振子的第一激发态被认为是唯一的中间态,并利用偶极近似。在本文中,我们一直使用高斯单位。
英文摘要:
In this paper we have presented a generalized treatment of a photon scattering by a harmonic oscillator initially at ground state. We have predicted the scattering cross-section of the oscillator and showed how the treatment invariably requires the formalisms of renormalization. As a special case of our treatment, we discussed about Rayleigh and Thomson Scattering and computed the total cross-section in order to be consistent with experimental results. Two approximations are adopted in order to simplify the problem but without any digression from our goal. A second order perturbation theory is employed where the first excited state of the harmonic oscillator is considered to be the only intermediate state and A dipole approximation is utilized. Throughout this paper we have used Gaussian units.
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