论文标题
旋转0颗粒的相对论波哈米亚轨迹和klein-gordon电流
Relativistic Bohmian trajectories and Klein-Gordon currents for spin-0 particles
论文作者
论文摘要
通常认为，基于无法定义粒子轨迹的基础，de broglie-bohm模型不接受大规模相对论旋转-0粒子的粒子解释。我们表明，这种情况是由于以下事实：在标准（规范）的klein-gordon方程中，波功能系统地包含粒子和抗颗粒的贡献的叠加。 klein-gordon方程在典型的情况下，从该电流密度获得的速度场似乎是良好的且亚元素的。作为例证，在标准速度场将任意高的正正值和负值的情况下，对Spin-0玻色子分布的Bohmian轨迹进行数值计算以进行自由传播。
It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact that in the standard (canonical) representation of the Klein-Gordon equation the wavefunction systematically contains superpositions of particle and anti-particle contributions.\ We argue that by working in a Foldy-Wouthuysen type representation uncoupling the particle from the anti-particle evolutions, a positive conserved density for a particle and associated density current can be defined.\ For the free Klein-Gordon equation the velocity field obtained from this current density appears to be well-behaved and sub-luminal in typical instances. As an illustration, Bohmian trajectories for a spin-0 boson distribution are computed numerically for free propagation in situations in which the standard velocity field would take arbitrarily high positive and negative values.
