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本文分析了文献[1]对阻尼振子所提出的直接的量子化方案,其中引进了对易关系xp-px=ihe(-(C/M)t)。指出这种方法在推广到C显含时间的情况时将发生困难。为使C显含时间的情况也能统一处理,必须保留海森堡对易关系xp-px=ih,同时假定对振子的作用力中含有与x不对易的部分fR,并满足对xfR-fRx=ih(C/M)。还具体分析了电子振子。We analyse the method of direct quantization suggested in reference [1] for adamped harmonic osillator, in which the quantum condition xp-px=ihe(-(C/M)t) is introduced. It is pointed out that this method can not be generalized to treat the case in which C is a function of time. In order to treat this case in a general approach, Heiaenberg relation xp-px=in must be kept and the force acting upon the osillatormust be supposed to contain a component fR that does not commute with x and satisfies xfR-fRx=ih(C/M).An electronic osillator is analysed as an example to show that ourapproach is consistent with quantum mechanical Langevin theory.
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