论文标题
量子谐波振荡器的相对论领域的仪表转换
Gauge transformations of a relativistic field of quantum harmonic oscillators
论文作者
论文摘要
以数学上严格的方式研究了量子谐波振荡器的相对论领域的一组量规变换。单个振荡器的数字运算符的域中的每个波函数都会生成一个差异的波函数场。从连贯的波函数开始，一个相干矢量状态的二维微分流形。作为例证，可以表明可以选择仪表变换的方式，使得磁场描述自由传播波。
A set of gauge transformations of a relativistic field of quantum harmonic oscillators is studied in a mathematically rigorous manner. Each wave function in the domain of the number operator of a single oscillator generates a Frechet-differentiable field of wave functions. Starting from a coherent wave function one obtains a two-dimensional differentiable manifold of coherent vector states. As an illustration it is shown that the gauge transformation can be chosen in such a way that the resulting fields describe a freely-propagating wave.
