Bound states of Klein–Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials

Bound states of Klein–Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials
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DOI：
10.1088/1009-1963/14/1/009
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发表时间：
2005
期刊：
Chinese Physics
影响因子：
--
通讯作者：
Xue-Ao Zhang;Chen Ke;Zheng-Lu Duan
Xue-Ao Zhang;Chen Ke;Zheng-Lu Duan
中科院分区：
其他
文献类型：
--
作者：
Xue-Ao Zhang;Chen Ke;Zheng-Lu Duan

文献摘要

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用环形非球振子求解Klein-Gordon方程和Dirac方程，给出了精确的束缚态波函数和能量方程，以及标量势和矢量势相等时非相对论性薛定谔方程、Klein-Gordon方程和Dirac方程之间的关系。
Solving the Klein–Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation and the relations between non-relativistic Schrödinger equation, Klein–Gordon equation and Dirac equation with equal scalar and vector potentials.