论文标题
在宇宙弦上时空中对标量场的非交换性和非惯用作用。第1部分：Klein-Gordon振荡器
Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
论文作者
论文摘要
我们在宇宙弦时空中分析了klein-gordon振荡器，并研究了旋转框架和动量空间中非交流性产生的效果。我们表明，后者模拟了一个恒定的磁场，将物理解释赋予了设置。标量场的场方程通过变量的分离来求解，我们获得了能量和角动量的量化。只要粒子限制在硬壁中，时空度量是非分级的，该颗粒的位置取决于旋转框架速度和丝质量参数。我们研究了有限硬壁（数值评估）和无限硬壁（分析处理）的能量量化。我们强调了非交换性对每种情况下能量量化的影响。
We analyse the Klein-Gordon oscillator in a cosmic string space-time and study the effects stemming from the rotating frame and non-commutativity in momentum space. We show that the latter mimics a constant magnetic field, imparting physical interpretation to the setup. The field equation for the scalar field is solved via separations of variables, and we obtain quantization of energy and angular momentum. The space-time metric is non-degenerate as long as the particle is confined within a hard-wall, whose position depends on the rotation frame velocity and the string mass parameter. We investigate the energy quantization both for a finite hard-wall (numerical evaluation) and in the limit of an infinite hard-wall (analytical treatment). We stress the effect of non-commutativity upon the energy quantization in each case.
