【摘要】 以量子力学变换严格求解了同类双原子链的一维量子耦合振动 ,得出了变换矩阵以及 2N个原子振动的频谱。当N为一大数时 ,作者求解的频谱与以经典力学推导出的频谱相似 ,但不完全相同更多还原

【Abstract】 In this paper,a quantum transformation for diagonalizing the Hamiltonian of a ring of N coupled diatomic identical oscillators is found,from which the dispersion relation of the system is obtained.For a large N,the dispersion relation obtained is different from what is given by the Newtonian equation of motion.The reason for the difference in dispersion relation is discussed,and the deficiency of the classical method is pointed out.更多还原