Spontaneous Absorption, Einsteins Rate Equation Approximation and Zero Point Energy

J. Saikia, G. Baruah
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Abstract

- Einstein’s derivation of Planck’s black body energy distribution law has been examined with the inclusion of the process of spontaneous absorption. It has been shown that the inclusion of the term of spontaneous absorption does not affect the distribution law but leads to an equation which was derived by Max Plank in 1911.The idea of relating spontaneous absorption to zero point energy is discussed in its historical prelude. We have observed that in the steady state temperature T, inclusion of the term of spontaneous absorption with some arbitrarily chosen value of transition probability results in the same distribution law for the black body as derived by Einstein in 1917, plus an additional term which points to the universal, uniform, all-pervasive phenomenon of zero point energy. The physics of zero point energy is well known but the zero point energy that originates from the term of spontaneous absorption is completely new. It is reasonable to believe that spontaneous is non-zero for a ground state which is not perfectly vacuum.
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自发吸收,爱因斯坦速率方程近似和零点能量
爱因斯坦对普朗克黑体能量分布定律的推导,在包含自发吸收过程的情况下进行了检验。结果表明,加入自发吸收项并不影响分布规律,而是由马克斯·普朗克(Max Plank)在1911年推导出的一个方程。在其历史前奏中讨论了将自发吸收与零点能量联系起来的思想。我们观察到,在稳态温度T下,将自发吸收项与任意选择的跃迁概率值一起包含在黑体的分布规律中,结果与爱因斯坦在1917年推导出的分布规律相同,再加上一个指向普遍、均匀、无所不在的零点能量现象的附加项。零点能量的物理学是众所周知的,但零点能量源于自发吸收项是全新的。我们有理由相信,对于非完全真空的基态,自发态是非零的。
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