%0 Journal Article %T ON THE QUANTUM MECHANICAL TREATMENT OF A DAMPED HARMONIC OSILLATOR
关于阻尼振子的量子化处理问题 %A ZHU RU-ZENG %A
朱如曾 %J 物理学报 %D 1981 %I %X 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. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E521DF03D505967F64294ABF90895052&yid=AA64127AB7DEB65D&vid=340AC2BF8E7AB4FD&iid=F3090AE9B60B7ED1&sid=3FD5B2D1B84CE43E&eid=8FB078CA6698CB38&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0