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arXiv 0706.0127hep-th
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Dirac方程在限制势中的态

States of the Dirac equation in confining potentials

R. Giachetti, E. Sorace

摘要:

我们研究了纯矢量耦合约束势中的Dirac方程,证明了随着非相对论极限的逼近,存在着寿命越来越长的亚稳态,并最终连续地融合到薛定谔束缚态中.我们相信,这些状态的存在可能与高能模型的构建和理解石墨烯等系统中可能的共振散射效应有关。我们提出了线性和谐波的情况下,我们表明,连续谱的态密度很好地描述了一个Breit-Wigner线的总和。最低正能量的线的宽度,正如预期的那样,再现很好的Schwinger对生产率的线性电位:因此,我们建议一种不同的方式获得信息的对生产在无界,非均匀电场,其中知之甚少。

英文摘要:

We study the Dirac equation in confining potentials with pure vector coupling, proving the existence of metastable states with longer and longer lifetimes as the non-relativistic limit is approached and eventually merging with continuity into the Schrödinger bound states. We believe that the existence of these states could be relevant in high energy model construction and in understanding possible resonant scattering effects in systems like Graphene. We present numerical results for the linear and the harmonic cases and we show that the the density of the states of the continuous spectrum is well described by a sum of Breit-Wigner lines. The width of the line with lowest positive energy, as expected, reproduces very well the Schwinger pair production rate for a linear potential: we thus suggest a different way of obtaining informations on the pair production in unbounded, non uniform electric fields, where very little is known.

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。

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