论文标题
在存在螺钉脱位的情况下，非惯性对非相关量子谐波振荡器的影响
Non-inertial effects on a non-relativistic quantum harmonic oscillator in the presence of a screw dislocation
论文作者
论文摘要
我们研究了由旋转框架引起的非惯性效应对非相关量子谐波振荡器以及与螺钉脱位相关的拓扑结构的非惯性效应，这与将垂直线变形为垂直螺旋形的拓扑相关。为此，在此背景下，我们获得了该谐波振荡器潜力的时间无关的Schrödinger方程的分析解。分析了能源谱的表达式，并分析了四个量子状态的解决方案，即$ n = 0,1,2 $和$ 3 $。我们的结果表明，拓扑缺陷（螺钉位错）的存在以及我们正在从旋转框架的角度分析系统，改变Schrödinger方程和相应频谱的解决方案。现在，这些数量取决于旋转框架的角速度，$ω$，也取决于参数$β$，这将螺钉位错的存在编码。特别是，关于系统的能源谱，变化的是，当$ω$增加时，能量会增加或减少，具体取决于我们分配给角度和线性动量的特征值的值。此外，我们观察到表征螺钉位错的参数$β$的值会导致能谱的变化。
We investigate non-inertial effects induced by a rotating frame on a non-relativistic quantum harmonic oscillator as well as of the topology associated to a screw dislocation, which corresponds to a distortion of a vertical line into a vertical spiral. To do this, we obtain the analytical solutions of the time-independent Schrödinger equation for this harmonic oscillator potential in this background. The expressions for the energy spectrum are obtained and the solutions for four quantum states, namely $n=0,1,2$ and $3$, are analysed. Our results show that the presence of the topological defect (screw dislocation) as well the fact that we are analysing the system from the point of view of a rotating frame, changes the solutions of Schrödinger equation and the corresponding spectrum. Now these quantities depend on the angular velocity of the rotating frame, $Ω$, and also on the parameter $β$, which codifies the presence of the screw dislocation. Particularly, with respect to the energy spectrum of the system the changing is such that when $Ω$ increases, the energy can increase or decrease depending on the values we assign to the eigenvalues of the angular and linear momenta. Additionally, we observe that the values of the parameter $β$ that characterizes the screw dislocation causes a shift in the energy spectrum.
