反常电子态

摘要：

在凝聚态中，由于某些宏观扰动，电磁零点能局部降低，从而形成反常电子阱。这些孔是窄的，宽度为$\sim 10^{-11}cm$，深度为$\sim 1MeV$。从量子力学的形式观点来看，这种反常状态对应于由非物理$δ(\vec R)$源产生的波动方程的奇异解。在标准模型的水平上，形式奇点周围的微小区域的分辨率表明状态是物理的。在原子系统中，这些状态的产生具有形式概率$\exp(-1000)$。在$10^{-11}cm$尺度上，在空间上迅速变化的扰动下，概率变得不小。在凝聚态物质中，这种扰动可能与声冲击波有关。在这个过程中，短尺度是反射晶格原子的德布罗意驻波的长度。在反常阱（反常原子）中的电子跃迁下，预期发射$keV$ X射线。可以在固体中形成宏观量的反常原子，每个原子的尺寸为$10^{-11}cm$，导致${\it collapsed}$ ${\it matter}$具有$10^9$倍增强的密度。

英文摘要：

By the certain macroscopic perturbations in condensed matter anomalous electron wells can be formed due to a local reduction of electromagnetic zero point energy. These wells are narrow, of the width $\sim 10^{-11}cm$, and with the depth $\sim 1MeV$. Such anomalous states, from the formal standpoint of quantum mechanics, correspond to a singular solution of a wave equation produced by the non-physical $δ(\vec R)$ source. The resolution, on the level of the Standard Model, of the tiny region around the formal singularity shows that the state is physical. The creation of those states in an atomic system is of the formal probability $\exp(-1000)$. The probability becomes not small under a perturbation which rapidly varies in space, on the scale $10^{-11}cm$. In condensed matter such perturbation may relate to acoustic shock waves. In this process the short scale is the length of the standing de Broglie wave of a reflected lattice atom. Under electron transitions in the anomalous well (anomalous atom) $keV$ X-rays are expected to be emitted. A macroscopic amount of anomalous atoms, of the size $10^{-11}cm$ each, can be formed in a solid resulting in ${\it collapsed}$ ${\it matter}$ with $10^9$ times enhanced density.

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