标题： 伽莫夫关于膨胀宇宙的时间和温度关系的量子力学推导 显示英文标题

标题： A quantum mechanical derivation of Gamow's relation for the time and temperature of the expanding Universe

摘要： 我们最近为宇宙演化开发的量子力学方法被用来推导一种替代推导，将宇宙背景辐射的温度与宇宙的年龄联系起来，发现这与伽莫夫很久以前得到的结果相似。 通过假设宇宙的年龄为$\approx$200亿年，我们得到了宇宙背景辐射的值为$\approx$2.91 K，与最近测量的实验值2.728 K相符。此外，这种理论使我们能够计算与背景辐射相关的光子密度和熵以及光子数与核子数的比值，这些结果在定量上与其他人的结果一致。 显示英文摘要

摘要： The quantum mechanical approach developed by us recently for the evolution of the universe is used to derive an alternative derivation connecting the temperature of the cosmic background radiation and the age of the universe which is found to be similar to the one obtained by Gamow long back. By assuming the age of the universe to be $\approx$ 20 billion years, we reproduce a value of $\approx$ 2.91 K for the cosmic back-ground radiation, agreeing well with the recently measured experimental value of 2.728 K. Besides, this theory enables us to calculate the photon density and entropy associated with the background radiation and the ratio of the number of photons to the number of nucleons, which quantitatively agree with the results obtained by others.