Dirac矩阵中的Anderson绝对对象和常数类时向量
Anderson's absolute objects and constant timelike vector hidden in Dirac matrices
摘要:
安德森定理断言,相对论协变形式的动力学方程的对称性是由它的绝对对象的对称性决定的,应用于自由狄拉克方程。狄拉克矩阵是狄拉克方程唯一的绝对对象。狄拉克矩阵的变换有两种:(1)狄拉克矩阵是四维向量,波函数是标量;(2)狄拉克矩阵是标量,波函数是旋量。在第一种情况下狄拉克方程是非相对论性的,在第二种情况下它是相对论性的。将狄拉克方程转化为另一个标量-矢量变量,说明第一种转化方式是有效的,狄拉克方程不是相对论性的
英文摘要:
Anderson's theorem asserting, that symmetry of dynamic equations written in the relativisitically covariant form is determined by symmetry of its absolute objects, is applied to the free Dirac equation. Dirac matrices are the only absolute objects of the Dirac equation. There are two ways of the Dirac matrices transformation: (1) Dirac matrices form a 4-vector and wave function is a scalar, (2) Dirac matrices are scalars and the wave function is a spinor. In the first case the Dirac equation is nonrelativistic, in the second one it is relativistic. Transforming Dirac equation to another scalar-vector variables, one shows that the first way of transformation is valid, and the Dirac equation is not relativistic
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