Analytical solution of the Schrodinger equation for isotropic velocity-dependent potentials

Ates Y. B.; Okorie U. S.; Ikot A. N.; Olgar E.

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Analytical solution of the Schrodinger equation for isotropic velocity-dependent potentials

机译：Schrodinger方程的分析解，用于各向同性速度依赖潜力

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The energy spectrum of the velocity-dependent potentials with respect to the harmonic oscillator potential and Coulomb potential are obtained for any n and l quantum states using the Nikiforov-Uvarov method for different cases of velocity-dependent terms. The effects of isotropic velocity-dependent potentials on the bound state energy eigenvalues are examined in analytic form when the form factor is considered as xi (r) = gamma r and xi (r) = gamma r(2). As an application to a physical system, we evaluated the vibrational partition function and other thermodynamic properties for the isotropic velocity-dependent potential harmonic oscillator.

机译：使用Nikiforov-UVarov方法对于不同速度依赖性术语的不同情况，从任何N和L量子状态获得关于谐振子电位和库仑电位的速度相关电位的能谱。当形状因子被认为是Xi（R）=γr和Xi（R）=γr（2）时，以分析形式检查各向同性速度依赖性电位对结合状态能量特征值的影响。作为对物理系统的应用，我们评估了各向同性速度相关的谐波振荡器的振动分区功能和其他热力学性质。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2019年第11期|共8页
作者
Ates Y. B.; Okorie U. S.; Ikot A. N.; Olgar E.;
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作者单位

Gaziantep Univ Engn Phys Dept Gaziantep Turkey;

Univ Port Harcourt Dept Phys Theoret Phys Grp PMB 5323 Choba Port Harcourt Nigeria;

Univ Port Harcourt Dept Phys Theoret Phys Grp PMB 5323 Choba Port Harcourt Nigeria;

Gaziantep Univ Engn Phys Dept Gaziantep Turkey;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
velocity-dependent potentials; Nikiforov-Uvarov method; eigenvalue equation; thermodynamic property;

机译：速度依赖潜力;Nikiforov-Uvarov方法;特征值方程;热力学性质;

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1. Analytical solution of the Schrodinger equation for isotropic velocity-dependent potentials [J] . Ates Y. B., Okorie U. S., Ikot A. N., Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2019,第11期

机译：Schrodinger方程的分析解，用于各向同性速度依赖潜力
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Analytical solution of the Schrodinger equation for isotropic velocity-dependent potentials

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