On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
复制标题
DOI：
10.1098/rspa.1939.0140
复制
发表时间：
1939-11-01
影响因子：
--
通讯作者：
Pauli, W
中科院分区：
文献类型：
--
作者：
Fierz, M;Pauli, W
狄拉克（1936）对任意自旋粒子的相对论波动方程的研究，最近由我们中的一位（Fierz, 1939，简称(A)）进行了后续研究。我们发现，在没有外场的情况下，可以建立一种二次量子化方案，并推导出电流矢量和能量动量张量的表达式。在本文中，这些考虑将扩展到存在外部电磁场的情况，但我们将首先忽略第二次量子化，并将我们自己局限于交流数理论。狄拉克（Dirac, 1936）提出的考虑电磁场影响的最直接方法，一旦自旋大于1，就会导致方程不一致，这一事实说明了这个问题的困难。
The investigations of Dirac (1936) on relativistic wave equations for particles with arbitrary spin have recently been followed up by one of us (Fierz, 1939, referred to as (A)) It was there found possible to set up a scheme of second quantization in the absence of an external field, and to derive expressions for the current vector and the energy-momentum tensor. These considerations will be extended in the present paper to the case when there is an external electromagnetic field, but we shall in the first instance disregard the second quantization and confine ourselves to ac-number theory. The difficulty of this problem is illustrated by the fact that the most immediate method of taking into account the effect of the electromagnetic field, proposed by Dirac (1936), leads to inconsistent equations as soon as the spin is greater than 1.