PARTIAL DIFFERENTIAL EQUATION FOR TIME-DEPENDENT PROBABILITY DENSITIES OF QUANTUM MECHANICS

被引:0
作者
KOSTIN, MD
机构
[1] School of Engineering and Applied Science, Princeton University, Princeton
关键词
D O I
10.1119/1.1975920
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The Schr-Odinger equation for the wave functions is used to derive a linear partial differential equation for the time-dependent probability densities, [formula omitted], where [formula omitted] are the time-dependent position, energy, and current densities, respectively. In the limiting case where the system is in the [formula omitted] quantum state, it is shown that this partial differential equation reduces to the previously derived third-order ordinary differential equation for the probability position density. © 1969, American Association of Physics Teachers. All rights reserved.
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页码:898 / &
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