| 环形非球谐振子标量势与矢量势的Klein-Gordon和Dirac方程的束缚态 |
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| 引用本文： | 张学骜,陈柯,段正路. 环形非球谐振子标量势与矢量势的Klein-Gordon和Dirac方程的束缚态[J]. 中国物理, 2005, 14(1): 42-44 |
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| 作者姓名： | 张学骜 陈柯 段正路 |
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| 作者单位： | College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha,m 410073, China;College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha,m 410073, China;Department of Physics, Tsinghua University, Beijing,100084, China |
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| 摘 要： | 通过求解环形非球谐振子势的 Klein-Gordon 和 Dirac方程,给出了束缚态波函数与能量方程的精确解,并指出非相对论Schr?dinger方程与具有相等标量势和矢量势的Klein-Gordon 方程以及Dirac方程之间具有数学结构上的等价性。
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| 关 键 词： | 环形非球谐振子 Klein-Gordon 方程 Dirac 方程 束缚态 |
| 收稿时间： | 2004-04-07 |
Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials |
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| Zhang Xue-Ao,Chen Ke and Duan Zheng-Lu. Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials[J]. Chinese Physics, 2005, 14(1): 42-44 |
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| Authors: | Zhang Xue-Ao Chen Ke Duan Zheng-Lu |
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| Affiliation: | College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha,m 410073, China; Department of Physics, Tsinghua University, Beijing,100084, China |
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| Abstract: | 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 Schr"{o}dinger equation,Klein--Gordon equation and Dirac equation with equal scalar and vector potentials. |
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| Keywords: | ring-shaped non-spherical oscillator Klein--Gordon equation Dirac equation bound state |
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