小于两个光子的非相对论性保利-菲尔兹哈密顿量

IF 0.6 4区数学 Q3 MATHEMATICS Hokkaido Mathematical Journal Pub Date : 2020-07-18 DOI:10.14492/hokmj/2019-164

D. Dayantsolmon, A. Galtbayar

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引用次数: 0

摘要

我们考虑Pauli- Fierz模型，它描述了一个粒子(一个电子)与量子化电磁场耦合，并将光子的数量限制在2以下。通过计算解析函数，我们确定了哈密顿质量的谱。我们的结果不依赖于耦合常数e，也不依赖于红外截止参数R。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-relativistic Pauli–Fierz Hamiltonian for less than two photons

We consider the Pauli--Fierz model, which describes a particle (an electron) coupled to the quantized electromagnetic field and limit the number of photons to less than 2. By computing \red{the resolvent explicitly}, we located the spectrum of the Hamiltonian mass. Our results do not depend on the coupling constant $e$ nor on the infrared cutoff parameter $R$.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.