A Problem in Relativistic Quantum Mechanics
A Problem in Relativistic Quantum Mechanics
复制标题
相对论量子力学中的一个问题
DOI：
10.1112/plms/s3-11.1.169
复制
发表时间：
1961
影响因子：
1.8
通讯作者：
E. C. Titchmarsh
中科院分区：
文献类型：
--
作者：
E. C. Titchmarsh
在狄拉克的相对论量子力学理论中，波函数 * F满足形式为iP*-Vc-x+*，P1 +* wPu+* z 'Pa + F的方程！其中V是电势，c是光速，p0-ihc^ d/dt，px=-ihd/dx，等等，和< xx，ocy，a.和j8是算子，使得a*= 1，c^+ c^ a^0，j82= m2 C2，0^+^= 0（1.2），以及涉及y和z的类似条件，m是粒子的静止质量。例如，这些公式可以从Mott和Sneddon（4），§ 53.1（19）中的公式中得到，只要设A= 0和-e < f>= T\。是4x 4矩阵，* F是四行一列的矩阵;（1.1）则等价于Y的四个分量所满足的四个偏微分方程组。
IN Dirac's theory of relativistic quantum mechanics, a wave function* F satisfies an equation of the form iP*-Vc-x+*, P,+* wPu+* z'Pa+ F!¥= 0,(1.1) where V is the potential, c is the velocity of light, p0—ihc^ d/dt, px=—ihd/dx, etc., and< xx, ocy, a. and j8 are operators such that a*= l, c^+ c^ a^ O, j82= m2C2, 0^+^= 0 (1.2) together with similar conditions involving y and z, m being the rest-mass of the particle. These formulae may, for example, be obtained from those of Mott and Sneddon (4), § 53.1 (19) by putting A= 0 and—e< f>= T\The conditions can be satisfied by taking< xx, etc.. to be 4x4 matrices and* F a matrix of four rows and one column;(1.1) is then equivalent to a system of four partial differential equations satisfied by the four components of Y.