论文标题
量子Zeeman效应的经典类似物
A classical analog of the quantum Zeeman effect
论文作者
论文摘要
我们扩展了Bohr原子的最新经典机械类似物，该原子由标量场组成，该标量耦合到一个巨大的点状粒子[P. P. Jamet，A。Drezet，``基于De Broglie的双重解决方法的Bohr原子的机械类似物''，Chaos 31，103120（2021）]，通过添加和研究均匀的弱磁场对动力学的贡献。这样一来，我们能够在模型的约束中恢复称为Zeeman效应的原子能量水平的分裂，并与Sommerfeld的半经典理论一致。使用Larmor的定理为场和粒子定理获得了该结果，将磁效应与惯性的科里奥利力在旋转的参考框架中相关联。我们的工作基于de Broglie的旧“双重解”理论，表明涉及标量场引导的粒子的二元模型可以重现正常的zeeman效应。
We extend a recent classical mechanical analog of Bohr's atom consisting of a scalar field coupled to a massive point-like particle [P. Jamet, A. Drezet, ``A mechanical analog of Bohr's atom based on de Broglie's double-solution approach'', Chaos 31, 103120 (2021)] by adding and studying the contribution of a uniform weak magnetic field on their dynamics. In doing so, we are able to recover the splitting of the energy levels of the atom called Zeeman's effect within the constraints of our model and in agreement with the semiclassical theory of Sommerfeld. This result is obtained using Larmor's theorem for both the field and the particle, associating magnetic effects with inertial Coriolis forces in a rotating frame of reference. Our work, based on the old `double solution' theory of de Broglie, shows that a dualistic model involving a particle guided by a scalar field can reproduce the normal Zeeman effect.
