基于相对论变换新视角的相对论量子力学和相对论量子统计
Relativistic quantum mechanics and relativistic quantum statistics based upon a novel perspective on relativistic transformation
摘要：
最近提出的一种关于相对论变换的新观点，使人们对相对性原理的真正意义有了一个新的认识。有了这个新的观点和贝尔定理，我们认为，狭义相对论，而不是量子理论，应该从根本上重新制定解决两个理论之间的不一致。在此基础上提出了相对论性量子力学的新理论。这种新的相对论性量子力学摆脱了当前相对论性量子力学中根深蒂固的负概率密度、负能态、Zitterbewegung和Klein悖论等反常现象。此外，还发现了一个显著的结果，即粒子不能被限制在宽度小于康普顿波长一半的无限深方阱中。作为核物理学的一个应用，原子核的大小存在一个下限。无论是电子还是正电子，都不能被任何相互作用限制在原子核内。此外，我们认为，非相对论量子统计的假设满足相对性原理，扩展到相对论领域。本文提出了一种新的相对论量子统计理论，使它的概率分布函数与非相对论量子统计中的三个已知的概率分布函数相同。利用新的相对论量子统计和相对论量子力学，导出了稀气体的相对论速度分布。这种相对论速度分布在低温区退化为麦克斯韦速度分布。然而，这种相对论速度分布在高温区与Jüttner速度分布明显不同。同时，用新的相对论量子统计方法研究了稀薄气体的热性质。
英文摘要：
A novel perspective on relativistic transformation recently-proposed provides an insight into the very meaning of the principle of relativity. With this novel perspective and Bell's theorem, we argue that special relativity, instead of quantum theory, should be radically reformulated to resolve inconsistencies between the two theories. A new theory of relativistic quantum mechanics is formulated upon this novel perspective. This new relativistic quantum mechanics is free from such anomalies as the negative probability density, the negative-energy states, Zitterbewegung, and the Klein paradox deep-rooted in the current relativistic quantum mechanics. Moreover, a remarkable result is found that a particle can not be confined within an infinite square well of width less than half of the Compton wavelength. As implications in nuclear physics, there is a lower bound on the size of atomic nucleus. Neither an electron, nor a positron, can be confined inside the nucleus by whatever interaction. Furthermore, we argue that the postulates of non-relativistic quantum statistics fulfill the principle of relativity, as extended to the relativistic realm. A new theory of relativistic quantum statistics is formulated such that the probability distribution functions are the same as the three well-known probability distribution functions in non-relativistic quantum statistics. A relativistic speed distribution of a dilute gas is then derived by the new relativistic quantum statistics and the new relativistic quantum mechanics. This relativistic speed distribution reduces to Maxwell speed distribution in the low temperature region. Yet, this relativistic speed distribution differs remarkably from Jüttner speed distribution in the high temperature region. Also, thermal properties of a dilute gas are studied by the new relativistic quantum statistics.
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。
