论文标题
干扰非相互作用的自由颗粒和特殊类型的检测器
Interference with non-interacting free particles and a special type of detector
论文作者
论文摘要
我们开发了对非相互作用的单个经典自由颗粒的干扰的经典图片。只要未被发现,粒子就会带有相当于沿其轨迹的动作积分的相位的信息。在检测点,一种特殊类型的检测器从所有的粒子中收集了各个粒子,随着时间的推移将它们添加为复数,并将它们除以其数字的平方根。检测器宣布许多检测等于所得复数幅度的平方。在实验的几次重复后,从检测箱中的粒子相的集合中逐渐建立了干扰模式。我们与三种schrödinger方程的解决方案获得了完美的一致性:一个高斯波袋,两个高斯波袋彼此接近,以及一个高斯波袋,反映了墙壁。
We develop a classical picture of interference for non-interacting individual classical massive free particles. As long as they remain undetected, particles carry the information of a phase equal to an action integral along their trajectory. At the point of their detection, a special type of detector collects the phases from all individual particles reaching it, adds them up over time as complex numbers, and divides them by the square root of their number. The detector announces a number of detections equal to the square of the amplitude of the resulting complex number. An interference pattern is gradually built from the collection of particle phases in the detection bins of the detector after several repetitions of the experiment. We obtain perfect agreement with three solutions of the Schrödinger equation for free particles: a Gaussian wavepacket, two Gaussian wavepackets approaching each other, and a Gaussian wavepacket reflecting off a wall.