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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Series solutions to the N-dimensional radial Schr?dinger equation for the quarkantiquark interaction potential
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Series solutions to the N-dimensional radial Schr?dinger equation for the quarkantiquark interaction potential

机译:夸克反夸克相互作用势的N维径向Schr?dinger方程的级数解

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摘要

In this work, we analytically obtain the energy eigenvalues and normalized eigenfunctions of the radial Schr?dinger equation in N-dimensional Hilbert space for the quarkantiquark interaction potential using the power series technique via a suitable ansatz to the wavefunction. From the energy eigenvalues, the mass spectra of heavy quarkonia in three dimensions are obtained. The problem is also solved numerically. The obtained analytical and numerical results are in good agreement with the existing results.
机译:在这项工作中,我们使用幂级数技术,通过适当的ansatz对波函数使用幂级数技术,分析了N维希尔伯特空间中夸克对夸克相互作用势的径向薛定ding方程的能量本征值和归一化本征函数。从能量特征值获得三维空间中的重夸克族的质谱。该问题也在数值上得到解决。所得的分析和数值结果与现有结果吻合良好。

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