论文标题
Quaternionic质量的量子力学
Quantum mechanics with quaternionic mass
论文作者
论文摘要
考虑了具有Quaternionic质量的量子力学。具有四离子质量的动量本本值方程产生的klein-gordon方程,质量由纵向和遍历质量组成。标量场总质量是这些质量的总和。该字段似乎与保存线性动量的两个子场相连。发现具有实际质量的粒子满足量子电报方程,而Quaternionic质量的粒子方程满足klein-gordon方程。发现作用在粒子上的量子力与其速度成正比。当粒子场与电磁场耦合时,粒子能量中的附加项似乎反映了粒子的角动量与磁场的相互作用。
Quantum mechanics with quaternionic mass is considered. The momentum eigen-value equation with quaternionic mass yields the Klein-Gordon equation with a mass consisting of longitudinal and traverse masses. The scalar field total mass is found to be a sum of these masses. This field appears to be connected with two subfields conserving linear momentum. It is found that a particle with real mass satisfies the quantum Telegraph equation, whereas that one with quaternionic mass satisfies the Klein-Gordon equation. A quantum force acting on the particle is found to be proportional to its velocity. When the particle field is coupled to an electromagnetic field, an additional term in the particle's energy appears reflecting the interaction of the particle's angular momentum with the magnetic field.