论文标题
保利(Pauli
Pauli's Electron in Ehrenfest and Bohm Theories, a Comparative Study
论文作者
论文摘要
电子以慢速移动的电子速度是通过波函数描述的,这是保利方程的解决方案。这是相对论狄拉克方程的低速极限。在这里,我们比较了两种方法,一种是一种更为保守的哥本哈根的解释,否认电子的轨迹,但通过eHrenFest定理允许电子期望值轨迹。当然,上述期望值是使用Pauli方程解决方案来计算的。 Bohm倡导了一种较少的正统方法,并且将速度场归因于Pauli Wave功能的电子。因此,有趣的是,根据bohm比较轨迹,然后根据ehrenfest进行电子及其期望值。都将考虑相似之处和差异。
Electrons moving at slow speeds much lower that the speed of light are described by a wave function which is a solution of Pauli's equation. This is a low velocity limit of the relativistic Dirac equation. Here we compare two approaches, one which is the more conservative Copenhagen's interpretation denying a trajectory of the electron but allowing a trajectory to the electron expectation value through Ehrenfest theorem. The said expectation value is of course calculated using a solution of Pauli's equation. A less orthodox approach is championed by Bohm, and attributes a velocity field to the electron also derived from the Pauli wave function. It is thus interesting to compare the trajectory followed by the electron according to Bohm and its expectation value according to Ehrenfest. Both similarities and differences will be considered.