论文标题
关于虫洞的量子横穿性
On quantum traversability of wormholes
论文作者
论文摘要
在本文中，我们研究了非相关量子颗粒通过考虑量子效应（例如隧穿）遍历广义的Ellis-Bronnikov虫洞的可能性。我们已经使用了广义的Ellis-Bronnikov虫洞度量标准，发现$ n = 2 $，我们具有以轨道角动量为中心的单个屏障形状的有效电位，以虫洞的喉咙为中心。对于$ n \ neq2 $，当轨道角动量为零时，我们具有对称的双重屏障形状电势，而非零角轨道动量的单个屏障。可以在$ n = 2 $的情况下找到广义Ellis-Bronnikov SpaceTime中Schrödinger方程的分析解决方案。这样的解决方案是根据汇合的HEUN功能给出的。最后，通过使用Delta屏障近似，我们可以找到非相关粒子的传输和反射系数，以穿越广义的Ellis-Bronnikov蠕虫孔。
In this paper we study the possibility of non-relativistic quantum particles to traverse the generalized Ellis-Bronnikov wormholes by considering quantum effects, such as tunneling. We have used the generalized Ellis-Bronnikov wormhole metric and found that for $n=2$ we have a single barrier shaped effective potential centered at the throat of the wormhole for any value of orbital angular momentum. For $n\neq2$ we have a symmetric double barrier shaped potential when the orbital angular momentum is zero and a single barrier for nonzero angular orbital momentum. Analytical solutions for the Schrödinger equation in the generalized Ellis-Bronnikov spacetime could be found only for $n=2$. Such solutions were given in terms of the confluent Heun functions. Finally, by using a delta-barrier approximation we could find the transmission and reflection coefficients for a non-relativistic particle to traverse the generalized Ellis-Bronnikov wormhole.
