摘要
将光场的量子化问题转化为一维简谐振子的量子化问题 ,然后利用概率论和变分法 ,直接从经典谐振子的哈密顿量导出一维简谐振子的薛定谔方程 ,从而发现 ,光只是一种电磁波。光场的能量、动量量子化起源于电磁场振动模能量、动量的统计平均。在此理论中 ,约化普朗克常数作为一个参数自然地出现。
It is shown that the problem of the quantization of light field can be adapted as that of one_dimensional harmonic_oscillator (ODHO).The Schrdinger equation of a quantized ODHO is derived directly from classical mechanics by using the probability theory and variation method. It is found that ① light is only a kind of electromagnetic wave and the quantization of the energy (or momentum) of light field originates from the statistical average of the energies (or momenta) of electromagnetic oscillators;② the reduced Planck constant appears naturally as a parameter in this theory.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2002年第5期108-110,共3页
Acta Scientiarum Naturalium Universitatis Sunyatseni