具有相关非线性相干态的广义复赫米特多项式

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-07-25 DOI:10.1063/5.0194370

Khalid Ahbli, Fouzia El Wassouli, Zouhaïr Mouayn

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引用次数: 0

摘要

在讨论一类广义复赫米特多项式时，我们讨论了它们的一些基本性质，并给出了伯克纳尔式的运算公式。我们还推导出新的结果，包括尼尔森特性、生成函数和 Runge 加法公式。这些多项式还可用于定义谐振子的一组非线性相干态。它们也可被视为朗道型算子的特征函数。

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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Generalized complex Hermite polynomials with associated nonlinear coherent states

While dealing with a class of generalized complex Hermite polynomials, we discuss some of their basic properties and we give operational formulae of Burchnall-type. New results, including a Nielsen identity, a generating function and a Runge addition formula are derived. These polynomials may also be used to define a set of nonlinear coherent states for the harmonic oscillator. They may also be viewed as eigenfunctions of a Landau-type operator.

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来源期刊

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

期刊介绍： Since 1960, the Journal of Mathematical Physics (JMP) has published some of the best papers from outstanding mathematicians and physicists. JMP was the first journal in the field of mathematical physics and publishes research that connects the application of mathematics to problems in physics, as well as illustrates the development of mathematical methods for such applications and for the formulation of physical theories. The Journal of Mathematical Physics (JMP) features content in all areas of mathematical physics. Specifically, the articles focus on areas of research that illustrate the application of mathematics to problems in physics, the development of mathematical methods for such applications, and for the formulation of physical theories. The mathematics featured in the articles are written so that theoretical physicists can understand them. JMP also publishes review articles on mathematical subjects relevant to physics as well as special issues that combine manuscripts on a topic of current interest to the mathematical physics community. JMP welcomes original research of the highest quality in all active areas of mathematical physics, including the following: Partial Differential Equations Representation Theory and Algebraic Methods Many Body and Condensed Matter Physics Quantum Mechanics - General and Nonrelativistic Quantum Information and Computation Relativistic Quantum Mechanics, Quantum Field Theory, Quantum Gravity, and String Theory General Relativity and Gravitation Dynamical Systems Classical Mechanics and Classical Fields Fluids Statistical Physics Methods of Mathematical Physics.