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arXiv 1703.08076physics.gen-phquant-ph
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扩展电子模型中的自旋

Spin in the extended electron model

Thomas Pope, Werner Hofer

摘要:

已经发现,扩展电子的模型更适合于描述通过扫描隧道显微镜获得的理论模拟和实验结果,但是,虽然动态特性很容易合并,但磁特性,特别是电子自旋特性,由于它们在没有测量的情况下被认为是各向同性的,因此会造成问题。电子的自旋与磁场发生反应,因而具有矢量的性质。然而,电子自旋也是各向同性的,这表明它不具有矢量的性质。我们相信,电子自旋描述中的这一核心冲突,是量子自旋粒子许多被测量和假设的矛盾性质的根源。利用一个模型,其中的电子自旋是一致的描述在真实的三维空间-一个扩展的电子模型-我们证明,自旋可以描述一个矢量,仍然保持其各向同性。在这个框架下,我们重新评估了施特恩-格拉赫实验,爱因斯坦-波多尔斯基-罗森实验,和连续测量的效果,并在所有情况下找到一个相当直观的解释。

英文摘要:

It has been found that a model of extended electrons is more suited to describe theoretical simulations and experimental results obtained via scanning tunnelling microscopes, but while the dynamic properties are easily incorporated, magnetic properties, and in particular electron spin properties pose a problem due to their conceived isotropy in the absence of measurement. The spin of an electron reacts with a magnetic field and thus has the properties of a vector. However, electron spin is also isotropic, suggesting that it does not have the properties of a vector. This central conflict in the description of an electron's spin, we believe, is the root of many of the paradoxical properties measured and postulated for quantum spin particles. Exploiting a model in which the electron spin is described consistently in real three-dimensional space - an extended electron model - we demonstrate that spin may be described by a vector and still maintain its isotropy. In this framework, we re-evaluate the Stern-Gerlach experiments, the Einstein-Podolsky-Rosen experiments, and the effect of consecutive measurements and find in all cases a fairly intuitive explanation.

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