描述(1 + 1)维度上的克莱因-福克-戈登-马约拉纳粒子

IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Salvatore De Vincenzo
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引用次数: 0

摘要

从理论上讲,在(1 + 1)维中可以有克莱因-福克-戈登-马约拉纳(KFGM)粒子。更确切地说,它们同时是一维(1D)克莱因-福克-戈登(KFG)粒子和马约拉纳粒子。原则上,描述这种一量子化粒子的波方程是标准的一维 KFG 方程和/或一维 Feshbach-Villars (FV) 方程,每个方程都有一个实洛伦兹标量势和某种马约拉纳条件。本文的目的是全面系统地分析后一种假设;此外,我们还引入了特定的方程和边界条件,以描述这些粒子位于区间内(或位于有一个小洞的点的直线上)时的特征。事实上,我们写的时间导数一阶方程并没有哈密顿形式。我们可以把这些方程称为一维 KFGM 粒子的一阶一维马约拉纳方程。此外,当标量势与时间无关时,它们中的每一个都会导致一个时间上的二阶方程,成为标准的一维 KFG 方程。此外,我们还研究了其中一个一阶一维马约拉纳方程的非相对论极限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Characterizing Klein–Fock–Gordon–Majorana Particles in (1 + 1) Dimensions

Theoretically, in (1 + 1) dimensions, one can have Klein–Fock–Gordon–Majorana (KFGM) particles. More precisely, these are one-dimensional (1D) Klein–Fock–Gordon (KFG) and Majorana particles at the same time. In principle, the wave equations considered to describe such first-quantized particles are the standard 1D KFG equation and/or the 1D Feshbach–Villars (FV) equation, each with a real Lorentz scalar potential and some kind of Majorana condition. The aim of this paper is to analyze the latter assumption fully and systematically; additionally, we introduce specific equations and boundary conditions to characterize these particles when they lie within an interval (or on a line with a tiny hole at a point). In fact, we write first-order equations in the time derivative that do not have a Hamiltonian form. We may refer to these equations as first-order 1D Majorana equations for 1D KFGM particles. Moreover, each of them leads to a second-order equation in time that becomes the standard 1D KFG equation when the scalar potential is independent of time. Additionally, we examine the nonrelativistic limit of one of the first-order 1D Majorana equations.

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来源期刊
Few-Body Systems
Few-Body Systems 物理-物理:综合
CiteScore
2.90
自引率
18.80%
发文量
64
审稿时长
6-12 weeks
期刊介绍: The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).
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