Algebraic Approach and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2024-10-27 DOI:10.1007/s00601-024-01962-w

M. Salazar-Ramírez, D. Ojeda-Guillén, J. A. Martínez-Nuño, R. I. Ramírez-Espinoza

引用次数: 0

Abstract

In this paper, we study and exactly solve the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries using an algebraic approach. Moreover, we focus on the radial part of this problem and apply the Schrödinger factorization method to demonstrate that the system possesses an SU(1, 1) symmetry. From this, we derive the wave functions and their respective energy spectrum. Additionally, we compute the radial coherent states of the modified Dirac oscillator and examine their temporal evolution in the spin and pseudospin limits, respectively.

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具有自旋和伪自旋对称性的弯曲时空中修正狄拉克振荡器的代数方法和相干状态

在本文中，我们用代数方法研究并精确求解了具有自旋和伪自旋对称性的弯曲时空中的修正狄拉克振荡器。此外，我们重点研究了该问题的径向部分，并应用薛定谔因式分解方法证明了该系统具有 SU(1, 1) 对称性。由此，我们得出了波函数及其各自的能谱。此外，我们还计算了修正狄拉克振荡器的径向相干态，并分别考察了它们在自旋和伪自旋极限下的时间演化。

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

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

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).