论文标题
基础和复合量子颗粒的等离子体样描述
Plasma-like Description for Elementary and Composite Quantum Particles
论文作者
论文摘要
Schr {Ö}在1952年注意到，可以通过量规变换来实现标量复杂波函数。作者最近表明，一个真实的功能也足以描述任意电磁或杨 - 米尔斯字段中狄拉克方程中的物质。这表明正频率和负频率之间的某些“对称性”以及颗粒和反颗粒，因此作者先前认为对单粒子波的描述是大量颗粒和反颗粒的等离子体样集合。该描述与Bohmian力学有一些相似之处。这项工作提供了一个标准，该标准通过基于部分傅立叶总和的均等性，通过具有量化电荷的离散电荷分布进行近似，并使用同型持续方法计算了此类近似值的示例。提出了描述的示例数学模型。该描述还扩展到复合颗粒，例如核子或大分子，被视为收集物，包括复合粒子和大量对基本颗粒和反颗粒。虽然尚不清楚这是否是对现实的正确描述，但它可以成为有趣的模型或有用的量子力学图片的基础。
Schr{ö}dinger noticed in 1952 that a scalar complex wave function can be made real by a gauge transformation. The author showed recently that one real function is also enough to describe matter in the Dirac equation in an arbitrary electromagnetic or Yang--Mills field. This suggests some "symmetry" between positive and negative frequencies and, therefore, particles and antiparticles, so the author previously considered a description of one-particle wave functions as plasma-like collections of a large number of particles and antiparticles. The description has some similarities with Bohmian mechanics. This work offers a criterion for approximation of continuous charge density distributions by discrete ones with quantized charge based on the equality of partial Fourier sums, and an example of such approximation is computed using the homotopy continuation method. An example mathematical model of the description is proposed. The description is also extended to composite particles, such as nucleons or large molecules, regarded as collections including a composite particle and a large number of pairs of elementary particles and antiparticles. While it is not clear if this is a correct description of the reality, it can become a basis of an interesting model or useful picture of quantum mechanics.
