Relativistic Ŝ-matrix formulation in one dimension for particles of spin-s (s = 0, 1/2)

IF 1.8 4区物理与天体物理 Q4 CHEMISTRY, PHYSICAL

Zeitschrift Fur Naturforschung Section A-A Journal of Physical Sciences Pub Date : 2023-10-30 DOI:10.1515/zna-2023-0096

Nahla Bourouis, Kamel Khounfais, Meheiddine Bouatrous

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引用次数: 0

Abstract

Abstract In quantum scattering theory, the time evolution of a physical system can be described as a series of unitary transformations. The operator of this transformation will be denoted S ̂ $\hat{\boldsymbol{S}}$ ; the corresponding matrix is the Ŝ -matrix (scattering matrix). This last object contains all the information on the broadcast process associated with the operator S ̂ $\hat{\boldsymbol{S}}$ The present work has two objectives: To develop the one-dimensional formalism of the scattering matrix of relativistic particles of spin-s ( s = 0, 1/2) in the presence of a localized electromagnetic field on the one hand and on the other hand to analyze the solutions of the problem of scattering states of relativistic particles of spin-s in interaction with some localized scalar potentials via the S ̂ $\hat{S}$ -matrix formalism.

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自旋为s (s = 0,1 /2)的粒子的一维相对论Ŝ-matrix公式

在量子散射理论中，物理系统的时间演化可以描述为一系列的酉变换。这个变换的算子表示为S´$\hat{\boldsymbol{S}}$;对应的矩阵为Ŝ -矩阵(散射矩阵)。最后一个对象包含与操作符S´$\hat{\boldsymbol{S}}$相关的广播过程的所有信息。一方面建立了局域电磁场存在下自旋为s (s = 0,1 /2)的相对论粒子散射矩阵的一维形式，另一方面利用s′$\hat{s}$ -矩阵形式分析了自旋为s的相对论粒子与局域标量势相互作用下的散射态问题的解。

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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来源期刊

Zeitschrift Fur Naturforschung Section A-A Journal of Physical Sciences 物理-物理：综合

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

3.3 months

期刊介绍： A Journal of Physical Sciences: Zeitschrift für Naturforschung A (ZNA) is an international scientific journal which publishes original research papers from all areas of experimental and theoretical physics. Authors are encouraged to pay particular attention to a clear exposition of their respective subject, addressing a wide readership. In accordance with the name of our journal, which means “Journal for Natural Sciences”, manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena. In particular, we welcome experiment-oriented contributions.