QFT治疗Klein麻痹
QFT Treatment of the Klein Paradox
摘要:
众所周知,克莱因佯谬是量子理论中最奇异、最违反直觉的结果之一。然而,关于Klein佯谬的许多讨论都是基于量子力学中的单粒子Dirac方程,而不是量子场方法。利用路径积分方法,我们计算了电子被有限方势垒散射的最低阶反射和透射系数。在假定阶跃势是有限方势垒的极限情况下,我们解释了由阶跃势定义不合理引起的Klein佯谬.
英文摘要:
It is well known that, Klein paradox is one of the most exotic and counterintuitive consequences of quantum theory. Nevertheless, many discussions about the Klein paradox are based upon single-particle Dirac equation in quantum mechanics rather than quantum field method. By using the path integral formalism, we evaluate the reflection and transmission coefficients up to the lowest order for the electron scattering by the finite square barrier potential. Within the context of assuming the step potential is the limiting case of the finite square barrier potential, we explain the Klein paradox that is caused by the ill-definition of the step potential.
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