广义测不准关系与黑体辐射

General Uncertainty Relation and Its Applications in Blacbody Radiation

介绍了位置与动量的广义测不准关系,得到了位置的最小不确定度,与此相应的微观状态的态密度必须作出修正,该修正对当前前沿科学所遇到的许多问题将产生广泛的影响.例如对黑体辐射问题,讨论显示,与Planck温度比较在温度较高的情况下斯特藩玻耳兹曼定律并不成立,辐射场的总能量应该与温度成正比.

The generalized position-momentum uncertainty relation is introduced, with a finite minimum uncertainty of position, the density of quantum states needs to be modified. This is believed to have a very broad effect on our current knowledge of various problms. In the specific example of the blackbody radiation, we find that the Stephan-Boltzmann law needs to be modified at very high temperatures comparable to the Planck temperature, the energy of the radiation fild as a whole will be proportional to the temperature.