宇宙弦时空中标量场的非对易性和非惯性效应。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
摘要：
我们分析了宇宙弦时空中的Klein-Gordon振子，并研究了动量空间中的旋转坐标系和非对易性对振子的影响。我们发现，后者模仿一个恒定的磁场，赋予物理解释的设置。通过分离变量法求解了标量场的场方程，得到了能量和角动量的量子化。只要粒子被限制在硬壁内，时空度规就是非简并的，硬壁的位置取决于旋转标架速度和弦质量参数。我们调查的能量量子化的有限硬壁（数值计算）和无限硬壁（分析处理）的限制。我们强调在每种情况下的能量量子化的非交换性的影响。
英文摘要：
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.
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