| 一类双曲型DIRAC方程(英文) |
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| 引用本文： | 于学刚.一类双曲型DIRAC方程(英文)[J].通化师范学院学报,1997(6). |
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| 作者姓名： | 于学刚 |
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| 作者单位： | 通化师范学院物理系 通化 |
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| 摘 要： | 在Clifford代数中,双曲虚单位j所对应的双曲复空间与Minkowski空间相吻合,是一种带有连续奇点的非Euclidean空间。在双曲复空间引入Dirac波动方程,比传统的Dirac方程数多出一倍,形成了入重Dirac粒子。其特点是,正、反粒子相互厄米共轭,表现为特殊幺正群SU(n)的形式。利用双曲复时空间的对称性,可以解释时间反演、能量反演与复共轭变换的对应关系,能够找出正、反粒子的时空对应点。
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| 关 键 词： | Dirac方程 反粒子 自旋算符 能量反演 时空点 |
A Species of hyperbolic type Dirac equations |
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| Yu Xuegang.A Species of hyperbolic type Dirac equations[J].Journal of Tonghua Teachers College,1997(6). |
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| Authors: | Yu Xuegang |
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| Abstract: | The hyperbolic complex spaces are consistent with Minkowski spaces. They are a kind of non-Euclidean spaces with continuous odd-points. Dirac wave-motion equations are introduced in the hyperbolic complex spaces, the number of the equations is more onefold than the number of tradition equations, and they form eight fold Dirac particles. Their characteristic is that the positrinos and the antiparticles are Hermitian conjugate each other, and express the form of special unitary groups SU(n). Utilizing the symmetric property of the hyperbolic complex space-time, we may explain the correspondence relations of time inversions, energy inversions and complex conjugate transformations. In the meantime, we can find the space-time correspondence points of the positrinos and the antiparticles. |
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| Keywords: | Dirac equation spin operator energ inversion space-time point |
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