库仑场量子理论中不变量核的正性

IF 0.9 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Acta Physica Polonica B Pub Date : 2022-04-02 DOI:10.5506/APhysPolB.53.2-A5

J. Wawrzycki

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引用次数: 0

摘要

我们证明了一个不变核的正性，这对量子库仑场的斯塔鲁什凯维奇理论具有重要意义。所提出的正性证明不依赖于Staruszkiewicz理论，而是基于经典的有条件负定函数的勋伯格定理和广义的Bochner定理。

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Positivity of the Invariant Kernel Underlying Quantum Theory of the Coulomb Field

We present a proof of positivity of an invariant kernel, which is of basic importance for the Staruszkiewicz theory of the quantum Coulomb ﬁeld. Presented proof of positivity is independent of the Staruszkiewicz theory and is based on the classical Schoenberg’s theorem for conditionally negative deﬁnite functions, as well as on the generalized Bochner’s theorem.

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来源期刊

Acta Physica Polonica B 物理-物理：综合

CiteScore

1.70

自引率

20.00%

发文量

审稿时长

3-8 weeks

期刊介绍： Acta Physica Polonica B covers the following areas of physics: -General and Mathematical Physics- Particle Physics and Field Theory- Nuclear Physics- Theory of Relativity and Astrophysics- Statistical Physics