三维-NRNCPS对称中IMK-GIQYP和IMSK-IQYP模型的新边界解和统计特性

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Abdelmadjid Maireche
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For the homogeneous (H<sub>2</sub>, N<sub>2</sub> and I<sub>2</sub>) and heterogeneous (CO, CH and NO) diatomic molecules, the new non-relativistic energy equation and eigenfunction for the IMK-GIQYP and the IMSK-IQYP models in the presence of deformation phase-space are obtained to be sensitive to the atomic quantum numbers (<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>j</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>s</mi></math></span><span></span> and <i>m</i>), the mixed potential depths (<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>D</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span><span></span> and <i>V</i>) and (<span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>D</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><mi>q</mi></math></span><span></span> and <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>V</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span></span>), the screening parameters (<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>δ</mi></math></span><span></span> and <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mi>φ</mi></math></span><span></span>), and non-commutativity parameters (<span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mi mathvariant=\"normal\">Θ</mi><mo stretchy=\"false\">/</mo><mover accent=\"true\"><mrow><mi mathvariant=\"normal\">Φ</mi></mrow><mo accent=\"true\">¯</mo></mover><mo>,</mo><mi>χ</mi><mo stretchy=\"false\">/</mo><mover accent=\"true\"><mrow><mi>χ</mi></mrow><mo accent=\"true\">¯</mo></mover></math></span><span></span> and <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mi>ζ</mi><mo stretchy=\"false\">/</mo><mover accent=\"true\"><mrow><mi>ζ</mi></mrow><mo accent=\"true\">¯</mo></mover></math></span><span></span>) for the IMK-GIQYP and the IMSK-IQYP, respectively. 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引用次数: 0

摘要

在三维非相对论性非交换量子相空间(3D-NRNCPS)对称性框架内,我们利用改进的改良克拉策加广义反二次尤卡娃势(IMK-GIQYP)和改进的改良屏蔽克拉策加反二次尤卡娃势(IMSK-IQYP)模型,研究了三维变形薛定谔方程(3D-DSE)。为此,我们采用了著名的广义波普位移法和标准扰动理论来求解三维-NRNCPS 体系中的 DSE。对于同质(H2、N2 和 I2)和异质(CO、CH 和 NO)二原子分子,得到了 IMK-GIQYP 和 IMSK-IQYP 模型在存在形变相空间时的新的非相对论能量方程和特征函数,它们对原子量子数(j、l,s和m)、混合势深(De,re和V)和(De,re,q和V1)、屏蔽参数(δ和φ)以及IMK-GIQYP和IMSK-IQYP的非交换性参数(Θ/Φ¯,χ/χ¯和ζ/ζ¯)敏感。我们利用 IMK-GIQYP 和 IMSK-IQYP,并对改进的修正克拉策势、改进的修正筛选克拉策势、改进的广义反二次汤川势模型和改进的反二次汤川势模型进行适当调整,研究了在三维-NRNCPS 对称中新得到的 DSE 边界态特征值。此外,在三维-NRNCPS 对称性中,深入研究了 IMK-GIQYP 和 IMSK-IQYP 的热特性,包括它们的分配函数、平均能、自由能、比热和熵。包括原子和分子物理学在内的重要领域都发现了这项研究的许多用途。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New bound-state solutions and statistical properties of the IMK-GIQYP and IMSK-IQYP models in 3D-NRNCPS symmetries

Within the framework of three-dimensional non-relativistic noncommutative quantum phase-space (3D-NRNCPS) symmetries, we study the three-dimensional deformed Schrödinger equation (3D-DSE) using the improved modified Kratzer plus generalized inverse quadratic Yukawa potential (IMK-GIQYP) and the improved modified screened Kratzer plus inversely quadratic Yukawa potential (IMSK-IQYP) models. For this consideration, the well-known generalized Bopp’s shifts method and standard perturbation theory are used to solve the DSE in the 3D-NRNCPS regime. For the homogeneous (H2, N2 and I2) and heterogeneous (CO, CH and NO) diatomic molecules, the new non-relativistic energy equation and eigenfunction for the IMK-GIQYP and the IMSK-IQYP models in the presence of deformation phase-space are obtained to be sensitive to the atomic quantum numbers (j,l,s and m), the mixed potential depths (De,re and V) and (De,re,q and V1), the screening parameters (δ and φ), and non-commutativity parameters (Θ/Φ¯,χ/χ¯ and ζ/ζ¯) for the IMK-GIQYP and the IMSK-IQYP, respectively. We investigate the newly obtained bound state eigenvalues of the DSE in 3D-NRNCPS symmetries using the IMK-GIQYP and the IMSK-IQYP, with appropriate adjustments made to the improved modified Kratzer potential, improved modified screened Kratzer potential, improved generalized inverse quadratic Yukawa potential model and improved inversely quadratic Yukawa potential model. Additionally, in 3D-NRNCPS symmetries, the thermal properties of the IMK-GIQYP and the IMSK-IQYP, including their partition function, mean energy, free energy, specific heat and entropy, are thoroughly examined. Significant areas, including atomic and molecular physics, find many uses for this study.

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来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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