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首页> 外文期刊>Hadronic Journal >SOME IMPLICATIONS OF NON-UNITARY TRANSFORMATIONS OF PLANCK'S QUANTUM HYPOTHESIS IN PHYSICS
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SOME IMPLICATIONS OF NON-UNITARY TRANSFORMATIONS OF PLANCK'S QUANTUM HYPOTHESIS IN PHYSICS

机译：物理上的普朗克量子假设的非单位变换的某些含义

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摘要

In this paper, we present an extensive review of the occurrences of divergences in classical statistical mechanics, special relativity and quantum mechanics, and describe their remedy via the selection of Born-Von Karman (external) boundary condition of topological ("isotopic" lifting) transformation of a cubic box ("quantization volume") into a torus which results in the introduction of two fundamental lengths and a group of non-unitary transformations of Planck's hypothesis concerning the quantization of energy of black-body (electromagnetic) radiation field. Accordingly Planck's constant "unit" of action and the speed of light in dense media are treated as observables denoted in classical Maxwell- Boltzmann[MB] statistics by in the form → ≡ ≡ h_0 , -→ =c_0I_t =U~+U=UU~+ ≠1,U~+≠U~(-1) and correspondences are established between the [MB] averages and the expectation values, in Dirac bra-c-ket notation, in the various (Schrodinger, Heisenberg, Interaction and Feynman) pictures of quantum mechanics (QM) and the lifting into the iso-expectation values, in hadronic mechanics (HM). It is shown that there exists a class of iso-time lifting transformation which ensures iso-convergence of time-dependent perturbation .series in HM, the iso-Green's function of HM being analogous to the thermal Green's function of quantum statistical mechanics. In-depth study of further implications for iso-Feynman propagator, S-matrix and perturbation series in quantum electrodynamics (QED) is presented in a follow-up paper.
机译：在本文中，我们对经典统计力学，狭义相对论和量子力学中发散的发生进行了广泛的综述，并通过选择拓扑（“同位素”提升）的Born-Von Karman（外部）边界条件来描述其补救措施。将立方箱（“量化体积”）转换为圆环，从而导致引入了两个基本长度以及关于黑体（电磁）辐射场的能量量化的普朗克假设的一组非单位转换。因此，普朗克恒定的作用“单位”和致密介质中的光速被视为经典麦克斯韦-玻耳兹曼[MB]统计量中以→≡形式表示的可观察值。 ≡h_0 ，-→ = c_0 I_t = U〜+ U = UU〜+≠1，U〜+≠U〜（-1），并且在[MB之间建立了对应关系]在量子力学（QM）的各种（Schrodinger，Heisenberg，Interaction和Feynman）图片中用Dirac bra-c-ket表示法平均和期望值 ）并提升到强子力学（HM）中的等值期望值。结果表明，HM中存在一类等时提升变换，可确保时间相关摄动序列的等收敛性，HM的iso-Green函数类似于量子统计力学的热格林函数。在后续论文中，深入研究了量子电动力学（QED）中iso-Feynman传播子，S矩阵和微扰级数的进一步含义。

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