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arXiv 2207.04559hep-thgr-qc
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关于虫洞的量子可穿越性

On quantum traversability of wormholes

J. Furtado, C. R. Muniz, M. S. Cunha, J. E. G. Silva

AI总结:

本文研究非相对论量子粒子借助隧穿效应穿越广义 Ellis–Bronnikov 虫洞的可能性,分析不同 n 与角动量下的势垒结构,并利用 δ 势垒近似得到透射和反射系数。

摘要:

在本文中,我们通过考虑隧穿等量子效应,研究非相对论量子粒子穿越广义 Ellis–Bronnikov 虫洞的可能性。我们使用广义 Ellis–Bronnikov 虫洞度规,发现对于 n=2,无论轨道角动量取何值,在虫洞喉部都存在一个以喉部为中心的单势垒形有效势。对于 n≠2,当轨道角动量为零时,我们得到对称的双势垒形势;当轨道角动量非零时,则得到单势垒。只有在 n=2 时,才能找到广义 Ellis–Bronnikov 时空中 Schrödinger 方程的解析解。这些解以合流 Heun 函数表示。最后,通过使用 δ 势垒近似,我们能够求出非相对论粒子穿越广义 Ellis–Bronnikov 虫洞的透射系数和反射系数。

英文摘要:

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.

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