arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1902.01504gr-qc
收藏

玻色子粒子中的弱引力量子效应

Weak gravitational quantum effects in boson particles

Omar Gallegos, Tonatiuh Matos

摘要:

我们将任意时空中的Klein-Gordon(KG)方程改写为广义薛定谔方程。然后我们取弱场极限,证明了该方程与传统的薛定谔方程加一个引力场有一定的区别。由此可见,用协变方法导出的薛定谔方程与传统的薛定谔方程是不同的。利用这个新的薛定谔方程,我们研究了牛顿时空中描述惯性系中标量粒子行为的KG方程。我们给出了一些例子,这些结果包含了由于时空弯曲而引起的引力效应,从而可以研究系统的能级、有效势和波函数。我们表明,这是可能的,在实验室中使用非惯性参考系验证这些效果的实验。

英文摘要:

We rewrite the Klein-Gordon (KG) equation in an arbitrary space-time transforming it into a generalized Schrödinger equation. Then we take the weak field limit and show that this equation has some differences with the traditional Schrödinger equation plus a gravitational field. Thus, this procedure shows that the Schrödinger equation derived in a covariant manner is different from the traditional one. With this new Schrödinger equation, we study the KG equation in a Newtonian space-time to describe the behavior of a scalar particle in an inertial system. We give some examples where it is possible to study the energy levels, effective potential and the wave function of the systems, these results contain the gravitational effects due to the curvature of space-time. We show that it is possible to verify experimentally these effects in a laboratory using non-inertial reference frames.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑