论文标题
测试Broglie在介质制度中的双重解决方案
Testing de Broglie's double solution in the mesoscopic regime
论文作者
论文摘要
我们在这里提出了在存在任意线性外部电势的情况下非线性Schroedinger方程的解决方案。非线性表达了一种自我关注的相互作用。这些解决方案是尖峰孤子的飞行波的产物，其速度遵守路易斯·德·布罗格利（Louis de Broglie）在1926年得出的指导方程。与试验器波变量相比，孤子大小降低并变得忽略不计时，我们近似值的有效性增加了。我们讨论了通过在介质制度中实施谦卑笨拙的船尾干涉仪来揭示其存在的可能性。
We present here solutions of a non-linear Schroedinger equation in presence of an arbitrary linear external potential. The non-linearity expresses a self-focusing interaction. These solutions are the product of the pilot wave with peaked solitons the velocity of which obeys the guidance equation derived by Louis de Broglie in 1926. The degree of validity of our approximations increases when the size of the soliton decreases and becomes negligible compared to the typical size over which the pilot wave varies. We discuss the possibility to reveal their existence by implementing a humpty-dumpty Stern-Gerlach interferometer in the mesoscopic regime.
