含参数的算符一次量子化理论的等价性

EQUIVALENCE OF THE FIRST QUANTIZATION USING POSITION AND MOMENTUM OPERATORS CONTAINING PARAMETERS

在保持坐标和动量算符所满足的对易关系不变的情况下 ,该文讨论了算符所能取的一般形式 ,它们依赖于参数 .之后直接证明了利用任何一组这种含参算符进行一次量子化所得到的非相对论性量子理论都是等价的 .因而在实际应用中为了方便起见 。

Keeping the commutation relations of the position and momentum operators fixed, the general possibilities of the operators are considered. They can rely on parameters.Then the fact that the first quatized theories using any parametrized position and momentum operators are physically equivalent is proved. So when quantizing different systems, they are chosen freely just for convenience.